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I need help with this Linear Algebra question. Thank you!

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Help with Linear Algebra

1. Suppose that $T$ is the matrix transformation defined by the matrix $A$ and $S$ the matrix transformation defined by $B$ where$$ A=\left[\begin{array}{rrr} 3 & -1 & 0 \\ 1 & 2 & 2 \\ -1 & 3 & 2 \end{array}\right], \quad B=\left[\begin{array}{rrr} 1 & -1 & 0 \\ 2 & 1 & 2 \end{array}\right] $$a. If $T: \mathbb{R}^{n} \rightarrow \mathbb{R}^{m}$, what are the values of $m$ and $n ?$ What values of $m$ and $n$ are appropriate for the...