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Given matrix equation is Ax = b A = [1 1 -2 2 3 -1 5 7 -4] b = [-1 1 8] implies [1 1 -2 2 3 -1 5 7 -4][x_1 x_2 x_3] = [-1 1 8] Augmented Matrix is [A/b] similarto [1 1 -2 2 3 -1 5 7 -4 -1 1 8] R_3: R_3 + 2R_1 R_2: R_2 - R_1 similarto [1 0 0 2 1 3 5 2 6 -1 2 6] R_3: R_3 -3R_2 similarto [1 0 0 2 1 0 5 2 0 -1 2 0] x_2 + x_1 = 2 put x_3 = k implies x_2 + k = 2 x_2 = 2 - k x_1 + 2x_2 + 5x_3 = -1 x_1 + 2(2 - k) + 5k = -1 x_1 + 4 -2k + 5k = -1 x_1 + 3k = -5 x_1 = -5 -3k Required solution in [x_1 x_2 x_3] = [-5 -3k 2 - k k] = \r\n

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