Provide a description of how the geometric linear transformation T acts on any vector x = x y in R 2 . For example, an answer could look like “T : R 2 → R 2 that first reflects points over the origin, then projects onto the x-axis.” (a) T(x) = 3 0 0 5 x y (b) T(x) = 0 −1 −1 0 x y • This one is graded for completion. It will be helpful to note swapping the coordinates (a, b) → (b, a) is a reflection over the line y=x. So the first step is this reflection over y=x. Additionally, if you make both coordinates negative after that, what transformation is that? You can find this earlier in this homework, or you can try to find a rotation that does this. (c) T(x) = 5 0 0 0 x y