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Suppose that A and B are matrices of the same size. Show
Chapter 3, Problem 47P(choose chapter or problem)
QUESTION:
Suppose that A and B are matrices of the same size. Show that:(a) (AT) T = A;________________(b) (cA) T = cAT; and________________(c) (A + B) T = AT + BT .
Questions & Answers
QUESTION:
Suppose that A and B are matrices of the same size. Show that:(a) (AT) T = A;________________(b) (cA) T = cAT; and________________(c) (A + B) T = AT + BT .
ANSWER:SOLUTIONStep 1Here, we have to prove the following properties of the transpose matrices.Givne that and are matrices of same size .Let and