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2. Let A = 4 2 2 1 4 2 1 2 -1 4 1 2 and b = ܚ ܬ ܗ 2 = a. (4 pts) Compute Ø, the orthogonal projection of b onto Col(A).
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2. Let A = 4 2 2 1 4 2 1 2 -1 4 1 2 and b = ܚ ܬ ܗ 2 = a. (4 pts) Compute Ø, the orthogonal projection of b onto Col(A).
2. Let A = 4 2 2 1 4 2 1 2 -1 4 1 2 and b = ܚ ܬ ܗ 2 = a. (4 pts) Compute Ø, the orthogonal projection of b onto Col(A). b. (4 pts) Solve the linear system, Ag = þ. c. (4 pts) Explain why the solution () found in (b) is the least-squares solution to Ax= b. What is the least-squares error? =
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