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 x b For all four methods determine the residual matrices. 1. 2. 6x1 2x + x3 = 13 x + 8x + 4x3 = 3 4x + 3x + 9x3 = 25 2x + 12x + 7x3 = 47 19 x + 2x + 4x3 = 35 24x + 13x + 3x3 = 59