Determine the matrix that defines a rotation about the origi

Determine the matrix that defines a rotation about the origin of 3pi/4, followed by a dilation of factor 2, and then a reflection in the y -axis. Find the image of the line y = 4x-5 under the affine transformation T[x y] = [2x y] + [3 1].

Solution

Post one more question to get the second answer, solved the first one in detail

5) The matrix on rotation through 3pi/4 radians will be

Now dilation factor will multiply it with 2, hence the matrix will be

On taking reflection in y-axis we get the final matrix as [sqrt(2),-sqrt(2)]

cos(3pi/4)	-sin(3pi/4)
sin(3pi/4)	cos(3pi/4)