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Math Help - Orthogonal matrices

  1. #1
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    Orthogonal matrices

    i have found two eigenvalues for a matrix i've been working on, both are lambda = 2...

    when i substitute the eigenvalue back into the matrix and row reduce i get

    y= 0 and x = z

    so i said my first eigenvector, V1 is a 3*1 column matrix with entries 1, 0, 1.

    My problem is finding the 2nd eigenvector...

    I need to find a vector V2 such that V1.V2 = 0 and V2 (hat) = 1.

    I think i need another vector V3 as well which is orthogonal to V1 and V2 and is itself a unit vector.. Does this mean i should have a 3rd eigenvalue?

    Im using these vectors as columns of matrix O...
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  2. #2
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    Delete this thread please Mods, i reposted the question using LaTex as i think my wording here was a bit messy

    Sorry if any hassle caused

    Tekken
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