Using your hand calculator, solve the systems of linear equations given below. Sole the systems using...

 

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Using your hand calculator, solve the systems of linear equations given below. Sole the systems using (a) the method of elimination, and (b) Gauss-Seidel method. In case of the Gauss-Seidel iterative method, show 5 iterations only, and determine the iterative error matrix at the end of each iteration. Show ALL steps, and use 6 places after the decimal in your calculations. Solve these systems using direct methods as well: (i) MATLAB built-in function x = a \b (ii) Matrix inversion method x = a ¹ x b For all four methods determine the residual matrices. 1. 2. 6x1 2x₂ + x3 = 13 x₁ + 8x₂ + 4x3 = 3 4x₁ + 3x₂ + 9x3 = 25 2x₁ + 12x₂ + 7x3 = 47 19 x₁ + 2x₂ + 4x3 = 35 24x₁ + 13x₂ + 3x3 = 59 Using your hand calculator, solve the systems of linear equations given below. Sole the systems using (a) the method of elimination, and (b) Gauss-Seidel method. In case of the Gauss-Seidel iterative method, show 5 iterations only, and determine the iterative error matrix at the end of each iteration. Show ALL steps, and use 6 places after the decimal in your calculations. Solve these systems using direct methods as well: (i) MATLAB built-in function x = a \b (ii) Matrix inversion method x = a ¹ x b For all four methods determine the residual matrices. 1. 2. 6x1 2x₂ + x3 = 13 x₁ + 8x₂ + 4x3 = 3 4x₁ + 3x₂ + 9x3 = 25 2x₁ + 12x₂ + 7x3 = 47 19 x₁ + 2x₂ + 4x3 = 35 24x₁ + 13x₂ + 3x3 = 59

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Solving these systems of linear equations using various methods 1 a Method of Elimination First lets ... View the full answer