Solved: in Exercises, find the B-matrix for the
Chapter 5, Problem 11E(choose chapter or problem)
In Exercises 11 and 12, find the \(\mathcal{B} \text {-matrix }\) for the transformation \(\mathbf{x} \mapsto A \mathbf{x}\), when \(\mathcal{B}=\left\{\mathbf{b}_{1}, \mathbf{b}_{2}\right\}\).
\(A=\left[\begin{array}{rr}3 & 4 \\ -1 & -1\end{array}\right], \mathbf{b}_{1}=\left[\begin{array}{r}2 \\ -1\end{array}\right], \mathbf{b}_{2}=\left[\begin{array}{l}1 \\ 2\end{array}\right]\)
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