(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A given matrix [tex]

A(x) =\left | \begin{array}{cc} cos(x)&sin(x)\\ -sin(x)&cos(x) \end{array}\right |

[/tex]

Find the term in the first row and second column A^{5}(x) when x = 18°

2. Relevant equations

3. The attempt at a solution

Instead of multiplying the matrix again and again by itself in a iterative procedure is there any quicker way?

Thanks

Thomas

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# Quick way of raising matrices to indicies

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