Is the system of linear equations always solvable if the matrix is of full rank – math.stackexchange.com

Is the system of linear equations always solvable if the matrix is of full rank – math.stackexchange.com

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I know that for an $n×n$ matrix $A$, the system $Ax=b$ has a unique solution for all $b$ in $\mathbb{R}^{n}$. My question is : what will happen when $A$ is an $m\times n$ matrix?Does the system is ...

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