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

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 combined matrix (augmented matrix) of the system.

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

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

Expert Solution

Ally Wells answered 1 week ago

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Question

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

Solutions

Expert Solution

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