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Matrix A and Vectors b & c in R^3: Solving Ax=b & Ax=c
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[QUOTE="andrewkirk, post: 5246727, member: 265790"] You left off a "doesn't" at the end of the question. Taking that as read, the matrix has to be singular, otherwise we can just left-multiply both sides by ##A^{-1}## to find solutions for both equations. What is the simplest, most monotonous, singular, 3 x 3 matrix you can think of? If you call that matrix A, what is the only vector b for which A x = b will have a solution x? I suspect that may not be the matrix they are looking for, but that's the simplest and most natural answer to the question as posed. [/QUOTE]
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Matrix A and Vectors b & c in R^3: Solving Ax=b & Ax=c
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