1. Consider the system of linear equations X1 + 2x2-x3-X4+2x5=2 2x1 + x2 + x3 3x4+x5...

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1. Consider the system of linear equations X1 + 2x2-x3-X4+2x5=2 2x1 + x2 + x3 3x4+x5 = 1 X1 + 2x2-x3 + 2x5 = 4 (a) Apply elementary row operations to put the augmented matrix of this system into reduced row echelon form (RREF). (b) Write down the general solution of this linear system. (c) Use your answer to (b) to find two explicit numerical solutions of this linear system. 1. Consider the system of linear equations X1 + 2x2-x3-X4+2x5=2 2x1 + x2 + x3 3x4+x5 = 1 X1 + 2x2-x3 + 2x5 = 4 (a) Apply elementary row operations to put the augmented matrix of this system into reduced row echelon form (RREF). (b) Write down the general solution of this linear system. (c) Use your answer to (b) to find two explicit numerical solutions of this linear system.