2. Solve each of the following systems by using Gaussian elimination and express its solutions as...

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2. Solve each of the following systems by using Gaussian elimination and express its solutions as linear combinations if they have infinitely many solutions. x1 – 2x2 + 3x3 = 6 2x1 + x2 + 4x3 = 5 a. -3x1 + x2 - 2x3 3 Xi + x2 2x3 = 3 2x1 + 3x2 - x3 -2x1 – 3x2 – X3 xi + 2x2 + 3x3 b. 4 = 4 = 4 4x1 + 7x2 + 6x3 = 17 2а1 + 5х2 + 12^з — 7 xi + 2x2 С. - x3 + 3x4 = 5 d. 3x1 – x2 + 4x3 + 2x4 = 1 -x1 + 5x2 – 6x3 + 4x4 = 9 x1 – 2x2 = 3 е. 2x1 - x2 = 0 -x1 + 4x2 -x1 + 2x2 – 3x3 = -1 = -4 f. 2x1 - x2 + 2x3 = 2 x1 + x2 – x3 = 2 2. Solve each of the following systems by using Gaussian elimination and express its solutions as linear combinations if they have infinitely many solutions. x1 – 2x2 + 3x3 = 6 2x1 + x2 + 4x3 = 5 a. -3x1 + x2 - 2x3 3 Xi + x2 2x3 = 3 2x1 + 3x2 - x3 -2x1 – 3x2 – X3 xi + 2x2 + 3x3 b. 4 = 4 = 4 4x1 + 7x2 + 6x3 = 17 2а1 + 5х2 + 12^з — 7 xi + 2x2 С. - x3 + 3x4 = 5 d. 3x1 – x2 + 4x3 + 2x4 = 1 -x1 + 5x2 – 6x3 + 4x4 = 9 x1 – 2x2 = 3 е. 2x1 - x2 = 0 -x1 + 4x2 -x1 + 2x2 – 3x3 = -1 = -4 f. 2x1 - x2 + 2x3 = 2 x1 + x2 – x3 = 2