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Hello ,I am learning a matrix for neural networks and i have a doubt
So a transformation means what the coordinates of a vector will be on changing the value of x and y axis from 1(taken by default in plane R1) to some value .Like a point in a plane where x=1 and y=1 coordinates of a point is (3,2) so this means that 3 steps in x direction and 2 step in y direction .Now lets say in plane R2 we increase x by a factor of 2 and y by a factor of 5.So that same point in plane R2 with x=2 and y=5 will be (3x2,2x5) ie (6,10) Right?
This can also be represented as vector [[3],[2]] for point which is a 2X1 matrix and rows tell about value of x and y .
No we can multiply this by a factor of change ie x inc by 2 and y inc by 5 so result is [[32],[25]] result is [[6],[10]] ie 6 in x direction and 10 in y direction Right?
No i came across a problem when i saw a L(v)= AxV where a is a matrix and v is a vector so applying same case to get a result of a vector in form of 2X1 we put matrix A=[[2,0],[0,5]](increase in x and y in Plane R2) so here why we added a 0 after 2 and 0 before 5 ?
Q1)Just to get result in the form of 2X1 matrix or some other reason.
Q2)Will there be any impact of zeros on the matrix or not?
The text was updated successfully, but these errors were encountered:
Hello ,I am learning a matrix for neural networks and i have a doubt
So a transformation means what the coordinates of a vector will be on changing the value of x and y axis from 1(taken by default in plane R1) to some value .Like a point in a plane where x=1 and y=1 coordinates of a point is (3,2) so this means that 3 steps in x direction and 2 step in y direction .Now lets say in plane R2 we increase x by a factor of 2 and y by a factor of 5.So that same point in plane R2 with x=2 and y=5 will be (3x2,2x5) ie (6,10) Right?
This can also be represented as vector [[3],[2]] for point which is a 2X1 matrix and rows tell about value of x and y .
No we can multiply this by a factor of change ie x inc by 2 and y inc by 5 so result is [[32],[25]] result is [[6],[10]] ie 6 in x direction and 10 in y direction Right?
No i came across a problem when i saw a L(v)= AxV where a is a matrix and v is a vector so applying same case to get a result of a vector in form of 2X1 we put matrix A=[[2,0],[0,5]](increase in x and y in Plane R2) so here why we added a 0 after 2 and 0 before 5 ?
Q1)Just to get result in the form of 2X1 matrix or some other reason.
Q2)Will there be any impact of zeros on the matrix or not?
The text was updated successfully, but these errors were encountered: