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