Answers
A = [-1 2 2 -3 -1 3] B = [4 1 2] a) (A^T A) X = (A^T times B) A^T = [-1 2 -1 2 -3 3] A^T A = [-1 2 -1 2 -3 3] [-1 2 2 -3 -1 3] A^T A = [6 -11 -11 22] A^T B = [-1 2 -1 2-3 3] [4 1 2] A^T B = [-4 11] (A^T A) X^= (A^T B) [6 -11 -11 22] [x_1 x_2] = [-4 11] 6 x_1 - 11 x_2 = -4 -11 x_1 + 22 x_2 = 11 x_1 = + 3 x_2 = + 2 X^= [x_1 x_2] = [+ 3 + 2]
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