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2. Consider the linear system: X1 X1 -X1 + 2x + 2x2 - 2x2 + - X3 - X4 + X4 2x3 + 4x4

 

2. Consider the linear system: X1 X1 -X1 + 2x + 2x2 - 2x2 + - X3 - X4 + X4 2x3 + 4x4 0 = 4 5 = = (a) Write down the corresponding augmented matrix. (b) Change the system to reduced row echelon form. (c) Compute rank of the augmented matrix. (d) List the lead variables and the free variables (if exists any). (e) Is the system consistent or inconsistent? (f) Find out all solutions of the system.

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