For the next three parts of this question, consider the linear system 2x2 + x3 + 2x4 1 2x2 2 2x1 4x2 X3 + 4x4 aWrite down the augmented matrix of the system. Bring the augmented matrix to row echelon...

Extracted text: For the next three parts of this question, consider the linear system 2x2 + x3 + 2x4 1 2x2 2 2x1 4x2 X3 + 4x4 aWrite down the augmented matrix of the system. Bring the augmented matrix to row echelon form, indicating which elementary row operation you have used at each step. State which of the variables are leading variables and which are free variables of the reduced system, and write down the solution set of the system. || ||