Math  /  Linear Algebra

Question Is it possible for the consistent system Ax=bAx=b to have multiple solutions for some bb? Yes, sometimes. No, never.

Studdy Solution
So, if the system Ax=bAx = b is consistent for every bb, it means that for every bb, there is at least one solution. But it does not necessarily mean that the solution is unique. If the matrix AA is singular, then there can be infinitely many solutions for some bb.
Therefore, the answer to the question is "Yes, sometimes" the equation Ax=bAx = b can have more than one solution.

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