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Use Gaussian elimination to find all solutions. 12x2+3x3 = 11 4x1 + x2 x3 = 4 21 - - 2+3x3 = 10 - 3x16x26x3

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Use Gaussian elimination to find all solutions. 12x2+3x3 = 11 4x1 + x2 x3 = 4 21 - - 2+3x3 = 10 - 3x16x26x3 = 9 2x15x2+4x3 = 6 - -1+16x214x3 = -3 x1+x2 x3 = 7 - 4x1 x2+5x3 = 4 - 2x12x2 3x3 = 0 - x1+x2 x3 = 7 - - 4x1 x2+5x3 = 4 6x1+2+3x3 = 20 x1+x2 x3 = 0 - 4x1 x2+5x3 = 0 - 6x1+2+3x3 = 0 - 1+2x2 x3 = 4 3x14x22x3 = 7 - 1+2x2 4x3 = 4 -2x14x22x3 = -9 2x16x2 4x3 + 2x4 = 4 21 3+45 -3x+2x22x3 = -2 x1+x24 2x1 - 3x2 = 7 3x1 + 2x2 = 8 Consider the system - 2x1 x2+3x3 = a 3x1+x2 5x3 = b - -5x15x2 + 21x3 = c Show that the system is inconsistent if c2a-3b.

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