diff --git a/matlab_for_beginners/README.md b/matlab_for_beginners/README.md
new file mode 100644
index 0000000..b2265a2
--- /dev/null
+++ b/matlab_for_beginners/README.md
@@ -0,0 +1,10 @@
+
+
+The best way to learn matlab programming is to go through the basics problems along with the code.
+It allows us to understand the matlab language in a better way.
+
+This, matlab_for_beginners tutorial is divided into different parts. Just go one by one through each part.
+After completion of all parts you will have good basic knowledge of matlab.
+
+All The Best.
+
diff --git a/matlab_for_beginners/matlab_introduction.md b/matlab_for_beginners/matlab_introduction.md
new file mode 100644
index 0000000..edabd9f
--- /dev/null
+++ b/matlab_for_beginners/matlab_introduction.md
@@ -0,0 +1,45 @@
+author - Puneet Prakash Arya
+email  - puneetarya66@gmail.com
+github - https://github.com/puneet-pr-arya
+
+
+
+
+"MATLAB" is a programming platform designed specifically for engineers and scientists. 
+The heart of MATLAB is the MATLAB language, a matrix-based language allowing the most natural expression of computational mathematics.
+
+
+What can you do with MATLAB?
+
+Using MATLAB, you can:
+
+Analyze data
+Develop algorithms
+Create models and applications
+
+
+Matlab Advantages
+
+                 (.) Implement and test your algorithms easily
+                 (.) Develop the computational codes easily
+                 (.) Debug easily
+                 (.) Use a large database of built in algorithms
+                 (.) Process still images and create simulation videos easily
+                 (.) Symbolic computation can be easily done
+                 (.) Call external libraries 
+                 (.) Perform extensive data analysis and visualization
+                 (.) Develop application with graphics user interface
+
+
+Who uses MATLAB?
+
+Millions of engineers and scientists in industry and academia use MATLAB. 
+You can use MATLAB for a range of applications, including deep learning and machine learning,
+signal processing and communications, image and video processing, control systems, test and measurement, 
+computational finance, and computational biology.
+
+
+With these tutorials, i would like to give all of you a basic idea of matlab so that all of you got familiar with the platform
+and can work on it in future.
+
+Thank you and all the best.
\ No newline at end of file
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/README.md b/matlab_for_beginners/part_1(learn_basic_programing)/README.md
new file mode 100644
index 0000000..a9fabf9
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/README.md
@@ -0,0 +1,21 @@
+
+
+This part-1 contains basics programs of matlab to make you familiar with the language.
+For better understanding the basics of the matlab programming,
+please go through the programs according the following
+sequence. Details of each the programs is given alongside:--
+
+1- add.m  ( addition of numbers)
+2- equal.m ( The meaning of "a = b" )
+3- math.m   ( Basic math operations )
+4- equal_add.m  ( The meaning of "a = b", continued )
+5- print.m      ( Formatted output )
+6- formatted_output.m    ( Formatted output continued )
+7- array.m              ( Simple addition of array )
+8- individual_eL_add.m  ( Extracting an individual element of an array )
+9- comment.m         ( The use of comment)
+10- continuation.m   ( Continuation to next line )
+11- intr_math_fun.m  ( Intrinsic math functions and constants )
+12- nam_var.m        ( Naming a variable )
+13- Plot a graph     ( for making a quick plot)
+
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/add.m b/matlab_for_beginners/part_1(learn_basic_programing)/add.m
new file mode 100644
index 0000000..f1d58d0
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/add.m
@@ -0,0 +1,5 @@
+%%Addition
+a = 3;
+b = 5;
+c = a+b
+%%Output:8
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/array.m b/matlab_for_beginners/part_1(learn_basic_programing)/array.m
new file mode 100644
index 0000000..a09a1bc
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/array.m
@@ -0,0 +1,9 @@
+%%Ex. 7 Arrays
+
+
+a = [3 6 7];
+b = [1 9 4];
+c = a + b
+
+
+%Output:   4 15 11
\ No newline at end of file
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/comment.m b/matlab_for_beginners/part_1(learn_basic_programing)/comment.m
new file mode 100644
index 0000000..caeb671
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/comment.m
@@ -0,0 +1,15 @@
+%%Ex. 9 Comment
+%
+% This program demonstrates how to "comment out"
+% a segment of code
+
+A = 3;
+B = A*A;
+%
+% B = 2*B <--- This statement is not executed
+%
+C = A+B
+
+
+
+%Output: c = 12
\ No newline at end of file
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/continuation.m b/matlab_for_beginners/part_1(learn_basic_programing)/continuation.m
new file mode 100644
index 0000000..90d38d9
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/continuation.m
@@ -0,0 +1,7 @@
+%%Ex. 10 Continuation to next line
+summation1 = 1 + 3 + 5 + 7 ...
+ + 9 + 11
+
+
+%Note: The three periods (...) allow continuation to the next line of commands. The two
+%  lines in the above example are essentially one line of "summation1 = 1+3+5+7+9+11".
\ No newline at end of file
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/equal.m b/matlab_for_beginners/part_1(learn_basic_programing)/equal.m
new file mode 100644
index 0000000..d61f3b0
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/equal.m
@@ -0,0 +1,11 @@
+%%Ex. 2 The meaning of "a = b"
+
+
+%In Matlab and in any programming language, the statement "a = b" does not mean
+%"a equals b". Instead, it prompts the action of replacing the content of a by the
+%content of b.
+a = 3;
+b = a;
+b
+
+%Output:3
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/equal_add.m b/matlab_for_beginners/part_1(learn_basic_programing)/equal_add.m
new file mode 100644
index 0000000..7dbf39f
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/equal_add.m
@@ -0,0 +1,7 @@
+%%Ex. 4 The meaning of "a = b", continued
+a = 3;
+a = a+1;
+a
+
+%Output:4
+
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/formatted_output.m b/matlab_for_beginners/part_1(learn_basic_programing)/formatted_output.m
new file mode 100644
index 0000000..26c34a6
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/formatted_output.m
@@ -0,0 +1,13 @@
+%%Ex. 6 Formatted output
+a = 3;
+b = a*a;
+c = a*a*a;
+d = sqrt(a);
+fprintf('%4u square equals %4u \r', a, b)
+fprintf('%4u cube equals %4u \r', a, c)
+fprintf('The square root of %2u is %6.4f \r', a, d)
+
+
+%Output:  3 square equals 9
+        % 3 cube equals 27
+        % The square root of 3 is 1.7321
\ No newline at end of file
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/individual_eL_add.m b/matlab_for_beginners/part_1(learn_basic_programing)/individual_eL_add.m
new file mode 100644
index 0000000..c5f4b86
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/individual_eL_add.m
@@ -0,0 +1,9 @@
+%%Ex. 8 Extracting an individual element of an array
+
+
+a = [3 6 7];
+b = [1 9 4 5];
+c = a(2) + b(4)
+
+
+%Output:  c = 11
\ No newline at end of file
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/intr_math_fun.m b/matlab_for_beginners/part_1(learn_basic_programing)/intr_math_fun.m
new file mode 100644
index 0000000..fc29b96
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/intr_math_fun.m
@@ -0,0 +1,9 @@
+%%Ex. 11 Intrinsic math functions and constants
+x = pi;
+y = sin(pi/2)
+z = exp(-sin(pi/2))
+
+
+%Output:
+    %    y = 1
+    %    z = 0.3679
\ No newline at end of file
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/make_graph.m b/matlab_for_beginners/part_1(learn_basic_programing)/make_graph.m
new file mode 100644
index 0000000..ef26300
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/make_graph.m
@@ -0,0 +1,17 @@
+%% Ex. 13 Making a quick plot
+x = [0:0.1:20]; 
+y = sin(x);
+plot(x,y)
+
+
+
+
+% remaks : Remarks: This only serves as a very quick example of what Matlab can do in making
+% plots.The first line is equivalent to x = [0 0.1 0.2 0.3 ... 19.8 19.9 20]. It
+% assigns the content of x which is an array of 201 elements. The "0:0.1:20" means the
+% 201 numbers are evenly spaced. They start from 0 and end at 20 with an increment of
+% 0.1. The second line gives the content of the new array, y, as
+ % y = [sin(x(1)) sin(x(2)) sin(x(3)) ... sin(x(200)) sin(x(201))] ,
+% or
+% y = [sin(0) sin(0.1) sin(0.2) ... sin(19.9) sin(20)] .
+% The 3rd line makes a plot of y vs. x. 
\ No newline at end of file
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/math.m b/matlab_for_beginners/part_1(learn_basic_programing)/math.m
new file mode 100644
index 0000000..fcedfc7
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/math.m
@@ -0,0 +1,7 @@
+%%Ex. 3 Basic math operations
+
+a = 3;
+b = 9;
+c = 2*a+b^2-a*b+b/a-10
+
+%Output:53
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/nam_var.m b/matlab_for_beginners/part_1(learn_basic_programing)/nam_var.m
new file mode 100644
index 0000000..9fc47c5
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/nam_var.m
@@ -0,0 +1,9 @@
+%%Ex. 12 "Clear" a variable
+
+%Naming a variable
+
+%(i) Matlab variables are case sensitive. For example, "ASU" and "asu" are two different
+%variables. (ii) An underscore (_) or a number (0-9) can also be part of the name of a
+%variable. For example, "MAE_384" is a legitimate variable name. (iii) Some names are
+%reserved for special constants. For example (see Ex. 11), "pi" is an intrinsic constant
+%with a fixed value of 3.14159...
\ No newline at end of file
diff --git a/matlab_for_beginners/part_1(learn_basic_programing)/print.m b/matlab_for_beginners/part_1(learn_basic_programing)/print.m
new file mode 100644
index 0000000..bda8cbe
--- /dev/null
+++ b/matlab_for_beginners/part_1(learn_basic_programing)/print.m
@@ -0,0 +1,4 @@
+%%Ex. 5 Formatted output
+
+fprintf('Hello')
+%Output:Hello
diff --git a/matlab_for_beginners/part_2(basic_looping)/README.md b/matlab_for_beginners/part_2(basic_looping)/README.md
new file mode 100644
index 0000000..100b9ac
--- /dev/null
+++ b/matlab_for_beginners/part_2(basic_looping)/README.md
@@ -0,0 +1,26 @@
+
+
+This part-2 introduces the concept of loops in the matlab language.
+
+For understanding the concept of looping just go through the programs one by one.
+ After that u will be able to apply the loops.
+
+1 - program1 -   ( Loop: Using for command )
+
+2-  program2 -  ( For loop: Utility of the dummy index )
+
+
+3 - program3 -   ( For loop: More on the dummy index)
+
+4 - program4 -    (Treatment of array within a loop)
+
+5 - program5 -     ( Double loop )
+
+
+6 - program6 -     ( another double lopp )
+
+
+7-  program7 -    ( More complicated use of loop and index )
+
+
+8-  wh_loop  -     ( while loop )
\ No newline at end of file
diff --git a/matlab_for_beginners/part_2(basic_looping)/program1.m b/matlab_for_beginners/part_2(basic_looping)/program1.m
new file mode 100644
index 0000000..bc3db0f
--- /dev/null
+++ b/matlab_for_beginners/part_2(basic_looping)/program1.m
@@ -0,0 +1,18 @@
+%% The for loop
+%Ex. 1 Loop: Using for command
+b = 3;
+for k = 1:5
+ b
+end
+
+
+%Output: 
+%  3
+%  3
+%  3
+%  3
+%  3
+
+%Remark: The blue-colored segment in lines 2-4 forms a "for-loop". The statement
+% sandwiched between "for k = 1:5" and "end" is repeated 5 times, with the "k" index
+% going from 1 to 5 step 1
\ No newline at end of file
diff --git a/matlab_for_beginners/part_2(basic_looping)/program2.m b/matlab_for_beginners/part_2(basic_looping)/program2.m
new file mode 100644
index 0000000..0bc9277
--- /dev/null
+++ b/matlab_for_beginners/part_2(basic_looping)/program2.m
@@ -0,0 +1,15 @@
+%% Ex. 2 For loop: Utility of the dummy index
+
+b = 3;
+for k = 1:5
+ b^k
+end
+%Output:
+% 3
+% 9
+% 27
+% 81
+% 243
+
+%Remark: The outputs are 3^1, 3^2, 3^3, 3^4, and 3^5. the value of "k" keeps changing as
+% we go through the loop
\ No newline at end of file
diff --git a/matlab_for_beginners/part_2(basic_looping)/program3.m b/matlab_for_beginners/part_2(basic_looping)/program3.m
new file mode 100644
index 0000000..5926930
--- /dev/null
+++ b/matlab_for_beginners/part_2(basic_looping)/program3.m
@@ -0,0 +1,10 @@
+%% Ex.3 For loop: More on the dummy index
+
+sum1 = 0;
+for k = 1:9
+ sum1 = sum1+k;
+end
+sum1
+%Output:
+%         45
+% Remark: this program performs the summation of 1+2+3+4+5+6+7+8+9 (= 45).
\ No newline at end of file
diff --git a/matlab_for_beginners/part_2(basic_looping)/program4.m b/matlab_for_beginners/part_2(basic_looping)/program4.m
new file mode 100644
index 0000000..ce6198c
--- /dev/null
+++ b/matlab_for_beginners/part_2(basic_looping)/program4.m
@@ -0,0 +1,16 @@
+%% Ex.4 Treatment of array within a loop
+
+
+b = [3 8 9 4 7 5];
+sum1 = 0;
+for k = 1:4
+ sum1 = sum1+b(k);
+end
+sum1
+
+
+%Output:
+  %       24
+  
+  % Remark: This program performs the summation of sum1 = b(1)+b(2)+b(3)+b(4) =
+% 3+8+9+4 = 24
\ No newline at end of file
diff --git a/matlab_for_beginners/part_2(basic_looping)/program5.m b/matlab_for_beginners/part_2(basic_looping)/program5.m
new file mode 100644
index 0000000..809cf3b
--- /dev/null
+++ b/matlab_for_beginners/part_2(basic_looping)/program5.m
@@ -0,0 +1,15 @@
+%% Ex. 5 Double loop
+
+sum1 = 0;
+for n = 1:2
+ for m = 1:3
+ sum1 = sum1+n*m;
+ end
+end
+sum1
+
+
+%Output:
+       18
+% Remark: this program performs the summation of
+% Sum1 = 1*1+1*2+1*3 +2*1+2*2+2*3 = 18
\ No newline at end of file
diff --git a/matlab_for_beginners/part_2(basic_looping)/program6.m b/matlab_for_beginners/part_2(basic_looping)/program6.m
new file mode 100644
index 0000000..19f40ff
--- /dev/null
+++ b/matlab_for_beginners/part_2(basic_looping)/program6.m
@@ -0,0 +1,16 @@
+%% Ex. 6 Double loop
+
+for n = 1:2
+ for m = 1:3
+ fprintf('n = %3u m = %3u \r', n, m)
+ end
+end
+
+
+%Output:
+% n = 1 m = 1
+% n = 1 m = 2
+% n = 1 m = 3
+% n = 2 m = 1
+% n = 2 m = 2
+% n = 2 m = 3
\ No newline at end of file
diff --git a/matlab_for_beginners/part_2(basic_looping)/program7.m b/matlab_for_beginners/part_2(basic_looping)/program7.m
new file mode 100644
index 0000000..6b1986c
--- /dev/null
+++ b/matlab_for_beginners/part_2(basic_looping)/program7.m
@@ -0,0 +1,17 @@
+%% Ex. 7 More complicated use of loop and index
+
+
+b = [2 5 7 4 9 8 3];
+c = [2 3 5 7];
+sum1 = 0;
+for k = 1:4
+ sum1 = sum1+b(c(k));
+end
+sum1
+%Output:
+%       24
+% Remark: This program performs the summation of
+% sum1 = b(c(1))+b(c(2))+b(c(3))+b(c(4))
+%      = b(2)+b(3)+b(5)+b(7)
+%       = 5+7+9+3
+%       = 24
\ No newline at end of file
diff --git a/matlab_for_beginners/part_2(basic_looping)/wh_loop.m b/matlab_for_beginners/part_2(basic_looping)/wh_loop.m
new file mode 100644
index 0000000..c557f60
--- /dev/null
+++ b/matlab_for_beginners/part_2(basic_looping)/wh_loop.m
@@ -0,0 +1,16 @@
+%% The while loop
+
+
+x = 3;
+while (x < 100)
+ x = x*3;
+end
+x
+
+
+% Output:
+%      x = 243
+% Remark: One can think of a while loop as a combination of a for loop and an if
+% statement. Here, the looping will keep going indefinitely as long as the condition,
+% (x < 100), is satisfied. Therefore, the value of x progresses from 3, 9, 27, 81, to 243
+% when the loop is terminated.
\ No newline at end of file
diff --git a/matlab_for_beginners/part_3(basic_branching)/README.md b/matlab_for_beginners/part_3(basic_branching)/README.md
new file mode 100644
index 0000000..a4a0e0f
--- /dev/null
+++ b/matlab_for_beginners/part_3(basic_branching)/README.md
@@ -0,0 +1,22 @@
+
+This part-3 makes you familiar with the basic branching concept which basically means using 
+loops,if, if else and basics of matlab.
+
+Just go through the programs in the given sequence. All required Information about the question is given in the program itself.
+
+
+1 -program1 - (The if command)
+
+
+2- program2 - (if - elseif - else (This example is self-explanatory. Try to change the given value
+                of num1 and observe the outcome.)
+
+3- program3-  (An application - determine whether a given year is a leap year (try to change the
+                given value of nyear and observe the outcome)
+
+
+4- program4-  (Combine looping and branching)
+
+
+
+Thank you...
\ No newline at end of file
diff --git a/matlab_for_beginners/part_3(basic_branching)/program1.m b/matlab_for_beginners/part_3(basic_branching)/program1.m
new file mode 100644
index 0000000..6898df0
--- /dev/null
+++ b/matlab_for_beginners/part_3(basic_branching)/program1.m
@@ -0,0 +1,19 @@
+%%Ex. 1 The if command
+
+num1 = 7;
+if (num1 > 5)
+ fprintf('%4u is greater than 5 \r', num1)
+else
+ fprintf('%4u is less than or equal to 5 \r', num1)
+end
+
+
+%Output:
+%             7 is greater than 5
+%             Same program, but change first line to "num1 = 3;"
+
+%Output:
+%       3 is less than or equal to 5
+%    Remark: In this program, if (num1 > 5) (num1 is greater than 5) is true, the statement
+% "fprintf('%4u is greater than 5 \r', num1)" is executed. Otherwise, the statement
+%  "fprintf('%4u is less than or equal to 5 \r', num1)" is executed.
\ No newline at end of file
diff --git a/matlab_for_beginners/part_3(basic_branching)/program2.m b/matlab_for_beginners/part_3(basic_branching)/program2.m
new file mode 100644
index 0000000..324dacc
--- /dev/null
+++ b/matlab_for_beginners/part_3(basic_branching)/program2.m
@@ -0,0 +1,17 @@
+%%Ex 2 if - elseif - else (This example is self-explanatory. Try to change the given value
+% of num1 and observe the outcome.)
+
+
+num1 = 4;
+if (num1 >= 5)
+ fprintf('%4i is greater than or equal to 5 \r', num1)
+elseif (num1 > 1)
+ fprintf('%4i is less than 5 but greater than 1 \r', num1)
+elseif (num1 == 1)
+ fprintf('%4i equals 1 \r', num1)
+elseif (num1 > -3)
+ fprintf('%4i is less than 1 but greater than -3 \r', num1)
+else
+ fprintf('%4i is less than or equal to -3 \r', num1)
+end
+
diff --git a/matlab_for_beginners/part_3(basic_branching)/program3.m b/matlab_for_beginners/part_3(basic_branching)/program3.m
new file mode 100644
index 0000000..30511f0
--- /dev/null
+++ b/matlab_for_beginners/part_3(basic_branching)/program3.m
@@ -0,0 +1,31 @@
+%% Ex 3 An application - determine whether a given year is a leap year (try to change the
+% given value of nyear and observe the outcome)
+
+
+nyear = 1975;
+if (mod(nyear, 400) == 0)
+ fprintf('%6u is a leap year', nyear)
+elseif (mod(nyear,4) == 0) & (mod(nyear,100) ~= 0)
+ fprintf('%6u is a leap year', nyear)
+else
+ fprintf('%6u is not a leap year', nyear)
+end
+
+% Output:
+ %     1975 is not a leap year
+% Remarks:
+%  (1) In the elseif command (4th line), "&" means "AND". Both statements
+% "(mod(nyaer,4) == 0)" and "(mod(nyear,100) ~= 0)" have to be true for Matlab to
+% execute the command, "fprintf('%6u is a leap year', nyear)". Also commonly used in an
+% if statement is "|" (a vertical line), which means "OR".
+% (2) The symbols "~=" in line 4 means "NOT EQUAL TO". There are 6 commonly used
+% expressions to compare two numbers in an if command:
+% A > B A is greater than B
+% A < B A is less than B
+% A >= B A is greater than or equal to B
+% A <= B A is less than or equal to B
+% A == B A equals B
+% A ~= B A does not equal B
+%(3) The "mod(A,B)" function returns the remainder of A divided by B. For example,
+% mod(7,2) = 1, mod(10,4) = 2, and mod(25,5) = 0. If A is divisible by B, mod(A,B) = 0.
+% This is a very useful function in many applications related to numerical methods
\ No newline at end of file
diff --git a/matlab_for_beginners/part_3(basic_branching)/program4.m b/matlab_for_beginners/part_3(basic_branching)/program4.m
new file mode 100644
index 0000000..e22eb37
--- /dev/null
+++ b/matlab_for_beginners/part_3(basic_branching)/program4.m
@@ -0,0 +1,19 @@
+%%Ex 4 Combine looping and branching
+
+sum1 = 0;
+sum2 = 0;
+N = 9
+for k = 1:N
+ sum1 = sum1+k;
+ if (mod(k,3) == 0)
+ sum2 = sum2+k;
+ end
+end
+sum1
+sum2
+
+
+% Output:
+%        sum1 = 45
+%        sum2 = 18
+% Remark: Sum1 = 1+2+3+4+5+6+7+8+9, while sum2 = 3+6+9.
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/README.md b/matlab_for_beginners/part_4(array_nd_matrix)/README.md
new file mode 100644
index 0000000..fdf6947
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/README.md
@@ -0,0 +1,36 @@
+
+
+
+This part-4 conatains array and matrix related problems.
+
+All the programs are arranged in the order just to give you the proper understanding of the array and matrix.
+
+Just Go through the programs.All the program's name and their work is specified inside the program itself.
+
+
+1 -  program1 - ( Assign the content of an array/matrix; Basic operations )
+                                                         
+
+2 -  program2 -  ( Assign the content of a matrix; Addition of two matrices )
+
+3 -  program3 -  ( Multiplication involving a scalar and an array (or a matrix )
+
+4 -  program4 -  ( Element-by-element multiplication involving two 1-D arrays or two matrices of the same dimension )
+
+5 -  program5 -  ( Element-by-element multiplication of two matrices )
+
+6 -  program6 -  ( Direct (not element-by-element) multiplication of two matrices )
+
+7 -  program7 -  ( Elementary functions with a vectorial variable )
+
+8 -  program8 -  ( Another example of elementary functions with a vectorial variable )
+
+9 -  program9 -  ( An efficient way to assign the content of an array )
+
+10 - program10 - ( Extracting the individual element(s) of a matrix )
+
+11 - program11 - ( Another example for the usage of index for a matrix )
+
+12 - program12 - ( Solving a system of linear equation )
+
+Thank You...
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diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program1.m b/matlab_for_beginners/part_4(array_nd_matrix)/program1.m
new file mode 100644
index 0000000..ae056c4
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program1.m
@@ -0,0 +1,11 @@
+%% 1. Assign the content of an array/matrix; Basic operations
+
+
+%Ex. 1 Assign the content of a (one-dimensional) array; Addition of two arrays
+
+
+a = [2 12 25];
+b = [3 7 4];
+c = a+b
+% Output:
+ %      c = 5 19 29
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program10.m b/matlab_for_beginners/part_4(array_nd_matrix)/program10.m
new file mode 100644
index 0000000..f09d29b
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program10.m
@@ -0,0 +1,10 @@
+%% Ex 10. Extracting the individual element(s) of a matrix
+
+
+A = [3 5; 2 4];
+c = A(2,2)+A(1,2)
+
+%Output:
+%     c= 9
+%   Remark: With the given A matrix, we have A(1,1) = 3, A(1,2) = 5, A(2,1) = 2, and
+%   A(2,2) = 4.
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program11.m b/matlab_for_beginners/part_4(array_nd_matrix)/program11.m
new file mode 100644
index 0000000..2a73fc9
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program11.m
@@ -0,0 +1,16 @@
+%% Ex. 11 Another example for the usage of index for a matrix
+
+
+A = [3 5; 2 4];
+norm1 = 0;
+for m = 1:2
+for n = 1:2
+ norm1 = norm1+A(m,n)^2;
+end
+end
+norm1 = sqrt(norm1)
+
+
+%Output:
+%    norm1 = 7.348
+% Remark: This program calculates the Euclidean norm of the A matrix
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program12.m b/matlab_for_beginners/part_4(array_nd_matrix)/program12.m
new file mode 100644
index 0000000..d511457
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program12.m
@@ -0,0 +1,20 @@
+%% Ex. 12 Solving a system of linear equation
+
+
+A = [4 1 2; 0 3 1; 0 1 2];
+b = [17 ; 19 ; 13];
+x = inv(A)*b
+
+
+%Output:
+%      x = 1
+%          5
+%          4
+
+
+% An alternative to Ex. 12
+% A = [4 1 2; 0 3 1; 0 1 2];
+% b = [17 ; 19 ; 13];
+% x = A\b
+% The output is the same as Ex. 39. Here, A\b is essentially inv(A)*b. (The "\" is called
+% "back divide" in Matlab documentations.)
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program2.m b/matlab_for_beginners/part_4(array_nd_matrix)/program2.m
new file mode 100644
index 0000000..bbfc477
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program2.m
@@ -0,0 +1,11 @@
+%% Ex. 2 Assign the content of a matrix; Addition of two matrices
+
+a = [3 4; 1 6];
+b = [5 2; 11 7];
+c = a+b
+
+%Output:
+%     c = 8 6
+%        12 13
+
+
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program3.m b/matlab_for_beginners/part_4(array_nd_matrix)/program3.m
new file mode 100644
index 0000000..d17b2e1
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program3.m
@@ -0,0 +1,9 @@
+%% Ex. 3 Multiplication involving a scalar and an array (or a matrix)
+
+a = [3 5; 1 4];
+b = 2*a
+
+
+%Output:
+%  b = 6 10
+%      2 8
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program4.m b/matlab_for_beginners/part_4(array_nd_matrix)/program4.m
new file mode 100644
index 0000000..962ab68
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program4.m
@@ -0,0 +1,15 @@
+%% Ex.4 Element-by-element multiplication involving two 1-D arrays or two matrices of the same dimension
+
+
+a = [2 3 5];
+b = [2 4 9];
+c = a.*b
+
+
+%Output:
+%      c = 4 12 45
+
+% Remark: The period preceding the mathematical operation, "*", indicates that the
+% operation will be performed element-by-element. In this case, the content of c is
+% c = [a(1)*b(1) a(2)*b(2) a(3)*b(3)]
+% Also, c is automatically assigned as a 1-D array with 3 elements
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program5.m b/matlab_for_beginners/part_4(array_nd_matrix)/program5.m
new file mode 100644
index 0000000..2611be5
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program5.m
@@ -0,0 +1,10 @@
+%% Ex. 5 Element-by-element multiplication of two matrices
+
+a = [2 3; 1 4];
+b = [5 1; 7 2];
+c = a.*b
+
+
+%Output:
+%      c = 10 3
+%           7 8
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program6.m b/matlab_for_beginners/part_4(array_nd_matrix)/program6.m
new file mode 100644
index 0000000..aa7af0d
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program6.m
@@ -0,0 +1,12 @@
+%% Ex.6 Direct (not element-by-element) multiplication of two matrices
+
+
+a = [2 3; 1 4];
+b = [5 1; 7 2];
+c = a*b
+% Output:
+%        c = 31 8
+ %           33 9
+
+ 
+ %Remark: Observe how the outcome of this example differs from Ex. 32.
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program7.m b/matlab_for_beginners/part_4(array_nd_matrix)/program7.m
new file mode 100644
index 0000000..e2fcdfa
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program7.m
@@ -0,0 +1,9 @@
+%% Ex. 7 Elementary functions with a vectorial variable
+
+a = [2 3 5];
+b = sin(a)
+% Output:
+%        b = 0.9092 0.1411 -0.9589
+
+
+%Remark: The content of b is [sin(2) sin(3) sin(5)].
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program8.m b/matlab_for_beginners/part_4(array_nd_matrix)/program8.m
new file mode 100644
index 0000000..015e34e
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program8.m
@@ -0,0 +1,10 @@
+%% Ex. 8 Another example of elementary functions with a vectorial variable
+
+a = [2 3 5];
+b = 2*a.^2+3*a+4
+
+
+%Output:
+%        b = 18 31 69
+%   Remark: The content of b is
+%    b = [2*(a(1))^2+3*a(1)+4 2*(a(2))^2+3*a(2)+4 2*(a(3))^2+3*a(3)+4].
\ No newline at end of file
diff --git a/matlab_for_beginners/part_4(array_nd_matrix)/program9.m b/matlab_for_beginners/part_4(array_nd_matrix)/program9.m
new file mode 100644
index 0000000..12c7590
--- /dev/null
+++ b/matlab_for_beginners/part_4(array_nd_matrix)/program9.m
@@ -0,0 +1,8 @@
+%% Ex. 9 An efficient way to assign the content of an array
+
+
+a = [0:0.5:4];
+a
+
+%Output:
+%        a = 0 0.5 1 1.5 2 2.5 3 3.5 4
\ No newline at end of file