Find the standard matrix of the following linear transforms.

(a) Linear transform T : R4 R2 with

T(~e1) =|1|

|9|

T(~e2) =|8|

|1|

T(~e3) =|2|

| 0 |

T(~e4) =|17|

|12|

(b) Linear transform R : R2 R2

rotates points about the origin counterclockwise by 3/4

(c)Linear transform F : R4 R2 applies transform T in part a) to ~x and then rotates the result using transform R.