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    Find the eigen values and eigen vectors of the matrix A = [9, -1, 9; 3, -1, 3; -7, 1, -7].

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    Find the eigen values and eigen vectors of the matrix

    A = [9, -1 , 9; 3 , -1 , 3; -7 , 1 , -7]

    Also find the corresponding eigen spaces for the matrix A.
    Find a matrix B which reduce the given matrix A to the diagonal form by the transformation B^(-1)AB.

    The fully formatted problem is in the attached file.

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    Linear Algebra
    Matrices (VIII)
    Eigen Values, Eigen Vectors, Eigen Spaces
    and Diagonalizable Matrix

    By:- Thokchom Sarojkumar Sinha

    Find the eigen values and eigen vectors of the matrix

    Also find the corresponding eigen spaces for the matrix .
    Find a matrix which reduce the given matrix to the diagonal form by the transformation .

    Solution :-

    Then gives

    or,

    or,

    or,

    or,

    or,

    ...

    Solution Summary

    This solution provides step by step calculations in an attached Word document.

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