Another question that i'm a little bit stumped on...(adsbygoogle = window.adsbygoogle || []).push({});

Define T: Mnn -> Mnn by T(A) = A + A^T. Prove that T is linear

i know that with T(A) = A^T you can prove it by the equations (if A and B are arbitrary matrices in Mnn and c is a scalar):

T(A+B) = (A+B)^T = (A)^T + (B)^T = T(A) + T(B)

T(cA) = (cA)^T = cT(A)

but i dont know how to manipulate these equations for the A + A^T problem...

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# Homework Help: Proving T is linear

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