Question: 5. Let A be an m x n matrix. (@) Show that A and AA have the same null space. (b) Is it true that

5. Let A be an m x n matrix. (@) Show that A and A"A have the same null space. (b) Is it true that A and AA must have the same row space? Explain. (c) Show that m = n is a necessary condition for A and A" A to have the same column space. Is the condition sufficient? Explain

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