4. Use Python to solve the following linear systems by any method. Verify the solution by computing the inverse of the coefficient matrix, and multiply A-1 b to solve for x. (a) X] + 3x2 + x4 = 0 X] + 4x2 + 2x3 = 0 - 2x2 - 2x3 - X4 = 0 2x1 - 4x2 + x3 + x4 = 0 X1 - 2x2 x3 + x4 = 0 (b) x3 + x4 + x3 = 0 -X1-x2 + 2x3 3x4 +x5= 0 x1 + x22x3 X5= 0 2x1 +2x2 - x3 + x 5 = 0 4. Use Python to solve the following linear systems by any method. Verify the solution by computing the inverse of the coefficient matrix, and multiply A-1 b to solve for x. (a) X] + 3x2 + x4 = 0 X] + 4x2 + 2x3 = 0 - 2x2 - 2x3 - X4 = 0 2x1 - 4x2 + x3 + x4 = 0 X1 - 2x2 x3 + x4 = 0 (b) x3 + x4 + x3 = 0 -X1-x2 + 2x3 3x4 +x5= 0 x1 + x22x3 X5= 0 2x1 +2x2 - x3 + x 5 = 0