Let be fixed 2 Atilde 2 matrices For each of the following functions, prove that L M2 Atilde 2 M2 Atilde 2 defines a linear map, and then find its matrix representative with respect to the standard basis of M2 Atilde 2 (a) L X AX (b) R AT XB (c) K X AX B ) p q a A B d

Question: Let be fixed 2 Ã 2 matrices. For each of the following functions, prove that L: M2Ã2 M2Ã2 defines a linear map, and then find

Let be fixed 2 Ã— 2 matrices. For each of the following functions, prove that L: M2Ã—2 †’ M2Ã—2 defines a linear map, and then find its matrix representative with respect to the standard basis

of M2Ã—2.
(a) L[X] = AX
(b) R[AT] = XB
(c) K[X] = AX B

:). p q a A = B = d

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