Consider the subspace S of the Euclidean inner product space R* spanned by the vectors v₁ = (1,1,1,1), v₂=(1,1,2,4), v₂=(1,2,-4,-3). Find an orthonormal basis of S. O A {(1,1,1,1),(-1,-1,0,2), (1,3,- 6,2) } OB. {(1,1,1,1), (1,1,2,4), (1,2,-4,-3) } ○ ¤ {(1,1,2,4), (− 1, − 1,0,2), (½ ‚ — ₁ — 3,1))} OD. None in the given list O E. ○ . {(1, ², -3,1), (1, 2, – 4, − 3), (4,2,1,1)}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the subspace S of the Euclidean inner product space R* spanned by the vectors v₁ = (1,1,1,1), v₂=(1,1,2,4), v₂=(1,2,-4,-3). Find an orthonormal basis
of S.
O A
{(1,1,1,1),(-1,-1,0,2), (1,3,- 6,2) }
OB. {(1,1,1,1), (1,1,2,4), (1,2,-4,-3) }
○ ¤ {(1,1,2,4), (− 1, − 1,0,2), (½ ‚ — ₁ — 3,1))}
OD. None in the given list
O E.
○ . {(1, ², -3,1), (1, 2, – 4, − 3), (4,2,1,1)}
Transcribed Image Text:Consider the subspace S of the Euclidean inner product space R* spanned by the vectors v₁ = (1,1,1,1), v₂=(1,1,2,4), v₂=(1,2,-4,-3). Find an orthonormal basis of S. O A {(1,1,1,1),(-1,-1,0,2), (1,3,- 6,2) } OB. {(1,1,1,1), (1,1,2,4), (1,2,-4,-3) } ○ ¤ {(1,1,2,4), (− 1, − 1,0,2), (½ ‚ — ₁ — 3,1))} OD. None in the given list O E. ○ . {(1, ², -3,1), (1, 2, – 4, − 3), (4,2,1,1)}
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