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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

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