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Math Help - Diagonalizable matrices

  1. #1
    fkf
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    Diagonalizable matrices

    Give all values of k, m and n for which the following matrix, B, is orthogonally diagonalizable (you do not have to give the diagonalization);

    B =
    [ 1 3 2]
    [k m n]
    [2 4 7]

    Edit:
    You don't have to solve the actually numbers. But I don't know how I should solve the problem.
    Last edited by fkf; March 9th 2013 at 11:20 AM.
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  2. #2
    Super Member ILikeSerena's Avatar
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    Re: Diagonalizable matrices

    Quote Originally Posted by fkf View Post
    Give all values of k, m and n for which the following matrix, B, is orthogonally diagonalizable (you do not have to give the diagonalization);

    B =
    [ 1 3 2]
    [k m n]
    [2 4 7]

    Edit:
    You don't have to solve the actually numbers. But I don't know how I should solve the problem.
    Hi fkf!

    Can you use the following theorem?

    Spectral Theorem for Real Symmetric Matrices: An n \times n matrix A is orthogonally diagonalizable if and only if A is symmetric.

    If so, can you apply it?
    Thanks from HallsofIvy
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