Unformatted text preview: the mapping. a) f ( x 1 ,x 2 ,x 3 ) = ( x 1 ,x 2 ,x 1 + x 2 + x 3 ) b) f ( x 1 ,x 2 ,x 3 ) = (0 ,x 1x 2 ) 4. Let A be an m × n matrix. Prove that I m A = A and AI n = A . 5. Prove that if the columns of B are linearly dependent, then so are the columns of AB . 1...
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 Spring '08
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 Math

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