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Find the orthogonal projection

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MATH 54 QUIZ 8-

1. True/False? Justify your answer. If ||u - v||2 = ||u||2 + ||v||2, then u is orthgonal to v.

2. Find the orthogonal projection of b = 156_Figure.pngonto W = Span 2082_Figure1.png

3. Find all least squares solutions to Ax = b where A = 164_Figure2.pngand b = 158_Figure3.png

4. Compute an orthogonal basis of P2 where the inner product is defined by

(f, g) = f(-1)g(-1) + f(0)g(0) + f(1)g(1) .

5. Let A and B be n × n orthogonal matrices. Show that AB is orthogonal.

Reference no: EM131075770

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