What is incorrect about the following proof Let AX = B be a system of linear equations

Chapter 2, Problem 15

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What is incorrect about the following proof? Let AX = B be a system of linear equations with solutions X 1 and X 2 Thus AX 1 = B and AX2 = B AX1 = AX2 X1 = X2 Thus every system of linear equations has at most one solution.

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