3 1 . (8 points) Consider A = -5 1 5 -7 1 1 -2 8 . 3 (a) Find an orthogonal basis for the column space of A. (b) Use the
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3 1 . (8 points) Consider A = -5 1 5 -7 1 1 -2 8 . 3 (a) Find an orthogonal basis for the column space of A. (b) Use the
3 1 . (8 points) Consider A = -5 1 5 -7 1 1 -2 8 . 3 (a) Find an orthogonal basis for the column space of A. (b) Use the result from part (a) to find the orthonormal matrix Q uses in the QR-factorization of A. Consider QTQ. If you know the result of the computation without doing any work, state the result, and explain how you know. If the result will not be an easy computation, don't do it.
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