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hkus10

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a) Tr(cA) = cTr(A), where c is a real number

b) Tr(A+B) = Tr(A) + Tr(B)

c) Tr(A(Transpose)) = Tr(A)

2) If r and s are real numbers and A and B are matrices of the appropriate sizes, then proves the following:

A(rB) = r(AB) =(rA)B

I have been thinking these for a long time with no directions to approach. Please help!!!