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  3. x1 + x2 - 2x4 = 2 x1 + x2 + 2x3 + 6x4 + x5...

x1 + x2 - 2x4 = 2 x1 + x2 + 2x3 + 6x4 + x5...

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Civil Engineering

x1 + x2 - 2x4 = 2
x1 + x2 + 2x3 + 6x4 + x5 = 8
−2x1 - 2x2 + x3 + 8x4 = −1
3x3 + 12x4 + 2x5 = 9
Let the linear system be given.

a. Find the reduced row eelon form of the combinedmatrix (augmented matrix) of the system.

b. Is the system consistent? If the system isconsistent, find the overall solution of the system.

c. Do all the solutions of the system create a vectorspace? Please explain.

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