[Solution] Suppose B is an m* n matrix such that
Question: Suppose \(B\) is an \(m\times n\) matrix such that
\[B\left( \begin{matrix} -1 \\ 2 \\ -3 \\ \end{matrix} \right)=\left( \begin{matrix} 0 \\ 0 \\ 0 \\ 0 \\ \end{matrix} \right)\]State the size of B . Let T be the linear transformation induced by B , and decide if T is one-to-one. Find m and n where \(T:{{\mathbb{R}}^{n}}\to {{\mathbb{R}}^{m}}\).
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