Solved: Let A = 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 (a) Show that the column vectors of A

Chapter 5, Problem 21

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Let A = 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 (a) Show that the column vectors of A form an orthonormal set in R4. (b) Solve the least squares problem Ax = b for each of the following choices of b. (a) b = (4, 0, 0, 0)T (b) b = (1, 2, 3, 4)T (c) b = (1, 1, 2, 2)T

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