Question

A linear transformation T : R2 → R2 is called a dilation if
T(x) = rx
for r > 1. (It is called a contraction if
0 < r < 1.)

(a) Find the matrix A such that
T(x) = Ax.

Answer 1

I don't understand this question, what am I supposed to write?

My homework just gives us a 2x2 matrix and we're supposed to fill it out......?????

I've tried filling it out with (1,0) in the first column and (0,1) in the second column, that didn't work.