Numerical Methods

Gaussian Elimination Method

Problem 1 Solve the equation using Gauss Elimination method. Only paper and pencil are needed. 3x + y - 22 = 2 x - 2y + z = 3 2x - y - 32 = 3 Info: With the given equations create the Augmented matrix. Then make each element below the diagonal element as O for all rows. Once these actions are performed till the last row, do the back substitution and find the solution. Your final 3x4 augment matrix should contain a 3x3 upper triangular matrix on the left and 3x1 vector of constants on the right. Example: 2x3y=3 2xy=5 The augmented matrix is Making the first element of second row as O by subtracting the second row with 2 times the first row (2nd row 2 times 1*\" row). Then with this get the final set of equations bh3y=3 2y=2 With back substitution we would get the solutions are x = 3 and y = 'l