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# HeLp WitH MatRicEs

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Consider the matrices

$$A$$ is the matrix $$( \begin{matrix} 4 & -2\\2& 4\end{matrix})$$

$$B$$ is the matrix that rotates vectors by $$\pi/12$$ counterclockwise

Solve the equation: $$B^8X=A$$ for the matrix $$X$$

Jul 29, 2021

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$X = \begin{pmatrix} -1 + \sqrt{3} & 2 \\ -2 & \sqrt{3} -1 \end{pmatrix}$

Sep 12, 2021