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Linear Prog COP4355_Part_58

Linear Prog COP4355_Part_58 - = 1-8 3-1-1(3(0(1-1(2(2-1(1(3...

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236 Appendix A: Review of Mathematical Tools A.8 (continued) Check: 1(4) + 1(-1) – 1(2) = 1 4 – 1 – 2 = 1 1(4) + 1(-1) + 1(2) = 5 4 – 1 + 2 = 5 1(4) – 1(-1) – 1(2) = 3 4 + 1 – 2 = 3 (d) [ ] [ ] [ ] [ ] -1 -2 -1 (-1)(1)(1) + (-2)(2)(3) + (-1)(0)(1) 0 1 2 3 1 1 (-1)(1)(3) + (-1)(2)(1) + (-2)(0)(1) X = = 3 -2 -1 (3)(1)(1) + (-2)(2)(2) + (-1)(1)(1) 1 1 2 -(-1)(1)(2) + (3)(2)(1) + (-2)(1)(1) 2 1 1 -8 = = 1 -8 [
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Unformatted text preview: = 1-8 [ ] [ ] 3 -1 -1 (3)(0)(1) + (-1)(2)(2) + (-1)(1)(3) 1 0 2 2 3 1 (-1)(0)(2) + (3)(2)(3) + (-1)(1)(1)-24 Y = = = = 3-8-8-8 − [ ] [ ] 3 -2 1 (3)(1)(3) + (-2)(0)(2) + (-1)(1)(1) 1 1 2 1 3 (-1)(1)(2) + (3)(0)(1) + (-2)(1)(3) 16 Z = = = = -2-8-8-8 − Check: 3(1) – 2(3) – 1(-2) = -1 → 3 – 6 + 2 = -1 1(1) + 1(3) + 2(-2) = 0 → 1 + 3 – 4 = 0 2(1) + 1(3) + 1(-2) = 3 → 2 + 3 -2 = 3...
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