Let A be an m x n matrix. Prove that Ax = b has at least...

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Advance Math

  1. Let A be an m x n matrix. Prove thatAx = b has at least one solutionfor any b if and only if A has linearlyindependent rows.

  2. Let V be a vector space with dimension 3, and letV = span(u, v,w). Prove that u,v, w are linearly independent (inother words, you are being asked to show that u,v, w form a basis forV)

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