Solve the linear system Ax = b by LU-Factorization showing Crout's and Doolittle's method on each. Show your complete solution. 1. 2. + z = 3 2x + y + 2z = 7 3x +2y + 6z = 8 X 2x₁ + x₂ + x3 3x₂ + x3 = x₁ X₁ = 7 = -3 -2x3 = 2 2x₁ + x₂ + x3 - 2x₁ = 8

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