In Exercise, show that the given transformation from R2 to R2 is linear by showing that it

Question:

In Exercise, show that the given transformation from R2 to R2 is linear by showing that it is a matrix transformation
a. F reflects a vector in the y-axis.
b. R rotates a vector 45° counterclockwise about the origin.
c. D stretches a vector by a factor of 2 in the x-component and a factor of 3 in the y-component.