Use an inverse matrix to find for the given × and .

Chapter 4, Problem 11E

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QUESTION:

In Exercises 11 and 12, use an inverse matrix to find \([\mathbf{x}]_{\mathcal{B}}\) for the given \(\mathbf{x} \text { and } \mathcal{B}\).

\(\mathcal{B}=\left\{\left[\begin{array}{r}3 \\ -5\end{array}\right],\left[\begin{array}{r}-4 \\ 6\end{array}\right]\right\}, \mathbf{x}=\left[\begin{array}{r}2 \\ -6\end{array}\right]\)

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QUESTION:

In Exercises 11 and 12, use an inverse matrix to find \([\mathbf{x}]_{\mathcal{B}}\) for the given \(\mathbf{x} \text { and } \mathcal{B}\).

\(\mathcal{B}=\left\{\left[\begin{array}{r}3 \\ -5\end{array}\right],\left[\begin{array}{r}-4 \\ 6\end{array}\right]\right\}, \mathbf{x}=\left[\begin{array}{r}2 \\ -6\end{array}\right]\)

ANSWER:

Solution 11EStep 1

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