Problem 3. Consider the system of linear equations Ax = b where 5] [1/4 1 A = 1/4 [1/8 -1/2] 2 X = X1 [Q]. X2 b - = 25 -12 a. Find the QR factorization for A using Householder transformations. b. Using your QR factorization in (a) find the least squares solution to this problem.

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