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# Help Quick

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Let $\mathbf{A}$ be a matrix and $\mathbf{x}$ be a non-zero vector such that $\mathbf{A} \mathbf{x} = 2 \mathbf{x}.$Then we have that $\mathbf{A}^7\mathbf{x} = a \mathbf{x}$some value of $a$. What is $a$ equal to?

Nov 12, 2020

### 1+0 Answers

#2
+31296
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Think about

$$\mathbf{A^7}\mathbf{x}= \mathbf{A^6}(\mathbf{A}\mathbf{x})$$

Nov 13, 2020