Please solve the following questions while showing all steps and provide explanations. Solve the following linear systems using the Gauss-Jordan algorithm. No marks will be awarded for methods other than the G-J algorithm. If there are infinitely many solutions, provide a parametric solution for the system. (a) (6 marks) 2a+b2ab+ca+2b+3c=4=1=0 (b) (6 marks) 6x+2y+z8x+2y4x2y2z=0=2=2 (c) (6 marks) 6x+zx+yzx+2y=5=2=0 (d) (6 marks) {3x+2yz=2x+2y+z=1.

1. Please solve the following questions while showing all steps and provide explanations. Solve the
following linear systems using the Gauss-Jordan algorithm. No marks will be awarded for
methods other than the G-J algorithm. If there are infinitely many solutions, provide a parametric
solution for the system. (a) (6 marks) 2a+b2ab+ca+2b+3c=4=1=0
(b) (6 marks) 6x+2y+z8x+2y4x2y2z=0=2=2
(c) (6 marks) 6x+zx+yzx+2y=5=2=0
(d) (6 marks) {3x+2yz=2x+2y+z=1