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Math Help - Finding orthonormal basis for R

  1. #1
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    Finding orthonormal basis for R

    I am given a 4 by 5 matrix and am asked to find the orthonormal basis for R^4.

    Then i am asked to find the orthonormal basis for R ^ 5.

    Can i take the transpose of the matrix and solve this problem?
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  2. #2
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    Reduce the matrix to row echelon form to get bases for your row and column spaces. Then apply Gram-Schmidt.
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