Question: 1. Let A be an mn matrix and B an nk matrix. (a) If the last column of B is all zeros, what can you

1. Let A be an mn matrix and B an nk

1. Let A be an mn matrix and B an nk matrix. (a) If the last column of B is all zeros, what can you say about the last column of AB ? (b) If B has no column of zeros but the last column of AB is all zeros, what can you say about the columns of A ? (c) If the columns of B are linearly dependent, what can you say about the columns of AB

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