Let A be an $m \times n$ matrix with rank $r$. If the linear system $Ax = b$ has a solution for each $b \in \mathbb{R}^m$, then a. the column space of A is a proper subspace of $\mathbb{R}^m$. b. $m = r$. c. $m > n$ d. $m = n$
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This means that the column space of A is equal to $R^m$. Show more…
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