Question: Let Ax = b be any consistent system of linear equations, and let x1 be a fixed solution. Show that every solution to the system

Let Ax = b be any consistent system of linear equations, and let x1 be a fixed solution. Show that every solution to the system can be written in the form x = x1 + x0, where x0 is a solution Ax = 0. Show also that every matrix of this form is a solution.

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