An orthonormal basis relative to the Euclidean inner product is given. 5 = {v, V2, …', Vn} is an orthonormal basis for an inner product space V, and u %3D If ... Is any vector in V then u = < u, V > V, + < u, V2 > V2 + · + < u, Vn > V, Use the theorem to find the coordinate vector of w = (- 2,0,5) with respect to that basis -3. ). 3(3-3) 多) S= {u,, U2, Uz} uz = %3D %3D Uz = 3 3 (w)s = (1.0.D Edit

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An orthonormal basis relative to the Euclidean inner product is given.
If S = {V1, V2, *", Vn is an orthonormal basis for an inner product space V, and u
is any vector in V then u = < u, V1 > v, + < u, V2 > V2 +·. · + < u, v, > v,
Use the theorem to find the coordinate vector of w = (- 2,0,5) with respect to that basis
(3 3.3)
S= {u,, u2, uz} u1 =
(w)s
(0.D Edit
Click if you would like to Show Work for this question: Open Show Work
Transcribed Image Text:An orthonormal basis relative to the Euclidean inner product is given. If S = {V1, V2, *", Vn is an orthonormal basis for an inner product space V, and u is any vector in V then u = < u, V1 > v, + < u, V2 > V2 +·. · + < u, v, > v, Use the theorem to find the coordinate vector of w = (- 2,0,5) with respect to that basis (3 3.3) S= {u,, u2, uz} u1 = (w)s (0.D Edit Click if you would like to Show Work for this question: Open Show Work
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