Question: Let T: M22 -> M22 be given by T(X) = AX, where A is a fixed 2 Ã 2 matrix. (a) Compute MB(T), where Note

Let T: M22 -> M22 be given by T(X) = AX, where A is a fixed 2 Ã— 2 matrix.
(a) Compute MB(T), where

Note the order!
(b) Show that cT(x) = [CA(x)]2.
(c) If the inner product on M22 is
(X, Y) = tr(XYT), show that T is symmetric if and only if A is a symmetric matrix.

B= 0 0 0 0

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