• v2 = (,- : Let W be the subspace of R* spanned by the vectors (1, 0, 1, 0), u2 (0, —1, 1, 0), and uз (0, 0, 1, –1). %3D Use the Gram-Schmidt process to transform the basis {u1, u2, u3} into an orthonormal basis. (A) vI = (E. 0.. 0), v2 = (- ,0), v3 = (- (B) v} = (E.0, E,0), (C) v] = (-, 0, NE, 0), (M) v] = (E.0..0), v2 = ( . 0), v3 = - (E) v = (-E,0,. 0), v2 = ( 0), v3 = (F) v] = (-E, 0, N2, ), (G) v] = (E,0, , 0). (H) v = (-\E,0, E 0), v2 = (-, NG, 0), (-V6 -V6, V6,0), v3 V3 V3 V3 6. v3 = (-V3, -V3 , V3, -V3) V2 6. 6. .0). V2 V3 V3 6. Vo Vo.0), v3 0), v3 6. V2 = 3 6 6. 2 V3 V3 V3 = 3 6.
• v2 = (,- : Let W be the subspace of R* spanned by the vectors (1, 0, 1, 0), u2 (0, —1, 1, 0), and uз (0, 0, 1, –1). %3D Use the Gram-Schmidt process to transform the basis {u1, u2, u3} into an orthonormal basis. (A) vI = (E. 0.. 0), v2 = (- ,0), v3 = (- (B) v} = (E.0, E,0), (C) v] = (-, 0, NE, 0), (M) v] = (E.0..0), v2 = ( . 0), v3 = - (E) v = (-E,0,. 0), v2 = ( 0), v3 = (F) v] = (-E, 0, N2, ), (G) v] = (E,0, , 0). (H) v = (-\E,0, E 0), v2 = (-, NG, 0), (-V6 -V6, V6,0), v3 V3 V3 V3 6. v3 = (-V3, -V3 , V3, -V3) V2 6. 6. .0). V2 V3 V3 6. Vo Vo.0), v3 0), v3 6. V2 = 3 6 6. 2 V3 V3 V3 = 3 6.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:: Let W be the subspace of R* spanned by the vectors
(1, 0, 1, 0), u2
(0, —1, 1, 0), and uз —
(0, 0, 1, –1).
Use the Gram-Schmidt process to transform the basis {u1, u2, u3} into an orthonormal basis.
(A) vI = (E.0.. 0), v2 =
(B) v| = (E, 0, , 0), v3 = ( 6, v6, vo 0), v3 = (E,.
(-V6, -V6, v6,0), v3 = (-V5, V3 v3 và
V2 =
(C) vị = ( .0, 2, 0), v2 =
(e, Ye, v, 0), v3 =
(D) v - (E.0.. 0). v2 - (- NE 0), v3 ( )
v2 = (-
о).
(E) v = (-.0, , 0).
() vi = (-E. 0, 0), vz = ( , 0), vs
(G) v, = (E.0., 0), v2 = (-, NG, 0), v3 =
(V6, N6, V6 0), v3 =
V3 V3
V2
o).
_V6 Vo
V3 V3
V2
V3
о).
6.
(H) Vị
0).
V3 V3 V3 V3
V2 =
V3
3
6.
6.
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