Question: If A ~ B, show that: (a) AT ~ BT (b) A-1 ~ B-1 (c) rA~ rB for r in R (d) An ~ Bn

If A ~ B, show that:
(a) AT ~ BT
(b) A-1 ~ B-1
(c) rA~ rB for r in R
(d) An ~ Bn for n ≥ 1

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