Question: 1. Let A = and 7 = Let W = col(A). (4 points) L (a) Find the vector in W that is closest to 7.

1. Let A = and 7 = Let W = col(A). (4 points) L (a) Find the vector in W that is closest to 7. Show your work. (Note that the columns of A are orthogonal vectors.) (b) Use the result from part (a) to find perpw (). N 2. Let w1 = W3 = WA = (6 points) NJJN ONNO (a) Use the Gram-Schmidt process to find an orthogonal basis for W = span(w1, W2, W3, W4). Show your work (i.e., show each of the terms in the Gram-Schmidt formula, not just the result). (b) Use the result of part (a) to find projw b, for b = Show your work (i.e., show each term in the projection formula)

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