Solutions for Varuth Internship Programming assignment.

output:

//question 1: enter elements: 3 -2 1 0 original mat: [[3, -2], [1, 0]] eigen val: [2. 1.] eigen vectors: [[0.89442719 0.70710678] [0.4472136 0.70710678]]

//question 2: enter the slope m:2 enter intercept c: 3 enter x1: 3 y1: 9 enter x2: 6 y2: 15 enter random point xp: 5 enter random point yp: 10 point doesnt lie on the line

//question 4:

enter digit k= 134 probability that k digit number doesnt contain 0,5,9 is P1=: 1.7504002307715033e-21 probability that k digit number doesnt conatin 0,5,9 is P2=: 2.7095768680686152e-33

//question 5: area of square: 4 diagonal: 2.8284271247461903 radius: 1.4142135623730951 area of circle: 6.283000000000002 circumference of circle: 17.771007624780314

//question 6: enter number of smaller cubes to bulid a bigger one: 2 number of bigger cube: 8 surface area s1= 24 surface area after removing 1 unit from each corner ,s2=: 24