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QUESTION
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 |...
|12|
(b) Linear transform R : R2 → R2
rotates points about the origin counterclockwise by 3π/4
(c)Linear transform F : R4 → R2 applies transform T in part a) to ~x and then rotates the result using transform R.
