Question

Find the matrix that represents the rotation of an object by 45 dgree about the origin and what is the new co-ordinates of point p(2,-4) after the rotation?

Answer 1

Answer:

The formula of this rotation is : RM[x + y - 1][n - x + y] = M[x][y], where RM means rotated matrix, M the initial matrix, and n the dimension of the initial matrix (which is n x n). So, a32, from the third row and second column will get to the fourth row and the fourth column.