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Math Help - HELP orthogonaly diagonolize matrix

  1. #1
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    Question HELP orthogonaly diagonolize matrix

    I need help

    Find a matrix that orthogonaly diagonolize matrix below


    A = [1 1 1, 1 1 1, 1 1 1]


    thank you!

    // Samtromb
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  2. #2
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    Quote Originally Posted by samtromb View Post
    I need help

    Find a matrix that orthogonaly diagonolize matrix below


    A = [1 1 1, 1 1 1, 1 1 1]


    thank you!

    // Samtromb
    1) Find the eigenvalues of the matrix. The fact that this matrix is not invertible tells you that 0 is one eigenvalue and that helps find the other 2.

    2) In fact, 0 is a double eigenvalue, but you can still find three mutually orthogonal eigenvectors of length 1. Find them.

    3) The matrix having those eigenvectors as columns will "orthogonally diagonalize" this matrix.
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