8. Let W denote the subspace of R consisting of all the vectors having coordinates that sum to zero. The vectors U1 - (2, —3, 4, —5, 2), из 3D (-6,9, —12, 15, —6), из %3D (3, —2,7, —9, 1), ид 3D us — (-1,1,2, 1, -3), ив 3D и7 %3D (1,0, —2,3, —2), из %3D (2,–8, 2, –2, 6), (0, –3, –18, 9, 12), (2, –1,1, –9, 7) generate W. Find a subset of the set {u1, u2, . . . , u8} that is a basis for W.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8. Let W denote the subspace of R consisting of all the vectors having
coordinates that sum to zero. The vectors
U1
- (2, —3, 4, —5, 2), из 3D (-6,9, —12, 15, —6),
из %3D (3, —2,7, —9, 1), ид 3D
us — (-1,1,2, 1, -3), ив 3D
и7 %3D (1,0, —2,3, —2), из %3D
(2,–8, 2, –2, 6),
(0, –3, –18, 9, 12),
(2, –1,1, –9, 7)
generate W. Find a subset of the set {u1, u2, . . . , u8} that is a basis for
W.
Transcribed Image Text:8. Let W denote the subspace of R consisting of all the vectors having coordinates that sum to zero. The vectors U1 - (2, —3, 4, —5, 2), из 3D (-6,9, —12, 15, —6), из %3D (3, —2,7, —9, 1), ид 3D us — (-1,1,2, 1, -3), ив 3D и7 %3D (1,0, —2,3, —2), из %3D (2,–8, 2, –2, 6), (0, –3, –18, 9, 12), (2, –1,1, –9, 7) generate W. Find a subset of the set {u1, u2, . . . , u8} that is a basis for W.
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