Question
Confirm by multiplication that $x$ is an eigenvector of $A,$ and find the corresponding eigenvalue.$$A=\left[\begin{array}{ll}1 & 2 \\3 & 2\end{array}\right] ; \mathbf{x}=\left[\begin{array}{r}1 \\-1\end{array}\right]$$
Step 1
Step 1: First, we need to multiply the matrix $A$ by the vector $\mathbf{x}$: $$A\mathbf{x}=\left[\begin{array}{ll}1 & 2 \\3 & 2\end{array}\right] \left[\begin{array}{r}1 \\-1\end{array}\right]$$ Show more…
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