Solved: Let A be an m × n matrix. Prove that every vector

Chapter 6, Problem 23E

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Problem 23E

Let A be an m × n matrix. Prove that every vector x in Rn can be written in the form x = p + u, where p is in Row A and u is in Nul A. Also, show that if the equation Ax = b is consistent, then there is a unique p in Row A such that Ap = b.

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