Question: Problem 2: 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 \(T:{{\mathbb{R}}^{n}}\to {{\mathbb{R}}^{m}}\).