Consider the vectors V1 = U₁ = v2 = and v3 = Convert the set {V₁, V2, V3} into an orthonormal set with respect to the inner product (u, v) = 2u₁v₁ + 3u₂v₂ + U3v3. (Enter sqrt(n) for √n. Apply the Gram-Schmidt process in the order the vectors are given.) 2/3sqrt(3 -3/sqrt(66 5/6sqrt(3 u2 = 2/sqrt(66|u3 = 1/6sqrt(3 -6/sqrt(66 8/3sqrt(3 -7/6sqrt(3 -23/6sqrt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the vectors
4
5, V2
1
V1 =
V2 =
-3
2, and v3 =
-6
2/3sqrt(3
U₁ = 5/6sqrt(3 u2 =
1/6sqrt(3
16
-7
-23
Convert the set {V₁, V2, V3} into an orthonormal set with respect to the inner product (u, v) = 2u1v₁ + 3u2v2 + u3v3. (Enter sqrt(n) for √n. Apply the Gram-Schmidt
process in the order the vectors are given.)
-3/sqrt(66
2/sqrt(66 U3 =
-6/sqrt(66
8/3sqrt(3
-7/6sqrt(3
-23/6sqrt
Transcribed Image Text:Consider the vectors 4 5, V2 1 V1 = V2 = -3 2, and v3 = -6 2/3sqrt(3 U₁ = 5/6sqrt(3 u2 = 1/6sqrt(3 16 -7 -23 Convert the set {V₁, V2, V3} into an orthonormal set with respect to the inner product (u, v) = 2u1v₁ + 3u2v2 + u3v3. (Enter sqrt(n) for √n. Apply the Gram-Schmidt process in the order the vectors are given.) -3/sqrt(66 2/sqrt(66 U3 = -6/sqrt(66 8/3sqrt(3 -7/6sqrt(3 -23/6sqrt
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