2. (a) Solve the following system of linear equations by using Gauss-Jordan elimination process. -x1 +3x2 - 2xz + 4x4 = 0 4r1 + 12x2 + 7x3 – 14x4 x1 – 3x2 + 4x3 – 8x4 -1 = 2 2.x1 – 6x2 + x3 – 2x4 -3....

Extracted text: 2. (a) Solve the following system of linear equations by using Gauss-Jordan elimination process. -x1 +3x2 - 2xz + 4x4 = 0 4r1 + 12x2 + 7x3 – 14x4 x1 – 3x2 + 4x3 – 8x4 -1 = 2 2.x1 – 6x2 + x3 – 2x4 -3. Write the solution in column form by explicitly isolating the parameter(s) associated with free variable(s), if there is any. (b) Consider the following matrix 1 4 -1 1 -2 -3 2 7 A = 1 0 -1 2 -3 3 -5 i. Find an LU-factorization of A. I2 ii. Use these L and U to solve the system Ax = b, where x = and 13 7 b = 5 -2 (c) Find A-1. Use A-1 to solve the system Ax = b, where A, x and b are the same as given in 2(b).