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Let S be the subspace of ℝ4 consisting of the solutions to the following system of...

Let S be the subspace of ℝ4 consisting of the solutions to the following system of equations:

x1−x2+x3−x4 = 0
x1+2x2−2x3−10x4 = 0
−2x1+x2−x3+5x4 = 0


Give a basis for S.

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