Let M2x2 be the vector space of all 2 × 2 matrices, and define T: M2x2 → M2x2 by T(A) = A + AT , where A = . Show that T is a linear transformation.

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A: T:M2×2→M2×2, such thatTA=A+AT

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A: T:M2×2→M2×2, such thatTA=A+ATA=abcd

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A: A detailed solution is given below.