Properties of the Transpose In Problems 39–42, either prove the properties in general using the fact that [ a, ]T = [a, ). or demonstrate the properties for general 3 × 3 matrices. 39. (A")T = A 40. (A + B)T = AT + BT 41. (kA) = kAT, for any scalar k 42. (AB)" = BTAT

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Q: (BH) Recall that a matrix Q is orthogonal if Q' Q = I.

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