Let $A$ be a $3\times2$ matrix. Explain why the equation $Ax=b$ cannot be consistent for all $b$ in $\mathbb{R}^3$. Generalize your argument to the case of an arbitrary $A$ with more rows than columns.
Explain why the equation $Ax=b$ cannot be consistent for all $b$ in $\mathbb{R}^3$.
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linear-algebra
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2This looks like homework, what have you tried ? – 2012-09-05
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0Not so much homework as studying for a test. I've been a bit stuck on this one. – 2012-09-05