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Math Help - Matrix that simultaneously diagonalizes A and B

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    Matrix that simultaneously diagonalizes A and B

    Let:

    A = \begin{bmatrix} 1 & 1 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 2\end{bmatrix}

    B = \begin{bmatrix} s+1 & 1 & 0 \\ 1 & s+1 & 0 \\ 0 & 0 & -2\end{bmatrix}

    Find an orthogonal matrix that simultaneously diagonalizes both A and B. (I've already checked to make sure they commute, now from here?
    Last edited by mathematicalbagpiper; April 17th 2010 at 02:30 PM.
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