Answer to Question #37192 in Linear Algebra for sumit dey

Question #37192

Show that the set W = {(x 1 , x 2, x3, x4):
x1 + x2 + x3 + x4 = 0) is a subspace of R4.
Verify that (1, —1, 1, —1) and (1, 0, 0, —1)
are in W. Find a basis of W containing
(1,-1, 1, —1) and (1, 0, 0, —1).

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