So it states: The Equation Ax=b has a solution if and only if b is a linear combination of the columns of A.(adsbygoogle = window.adsbygoogle || []).push({});

That means the columns of A are linearly dependent.

So then if I have a matrix A and a vector B, and after row reduction on Ax=B i get, the identity matrix.

So does that imply that Ax=B has no solutions?

Or that Ax=B has the trivial solution.

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# Confused about Ax=b

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