The following vectors u,, u,, and u, form an orthonormal basis for R³. (금이) u, = (0, –1, 0), u2 = 0, - uz = 0, Use the result of Theorem 4.20 to express the vector v = (4, -5, 1) as a linear combination of these basis vectors. x Ju2 V = +

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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
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The following vectors u,, u,, and u, form an orthonormal basis for R.
4
3
0,
5'
4
u = (0, –1, 0),
u2 =
0,
5'
U3 =
5
5
Use the result of Theorem 4.20 to express the vector v =
(4, -5, 1) as a linear combination of these basis vectors.
Jus
V =
+
+
Transcribed Image Text:The following vectors u,, u,, and u, form an orthonormal basis for R. 4 3 0, 5' 4 u = (0, –1, 0), u2 = 0, 5' U3 = 5 5 Use the result of Theorem 4.20 to express the vector v = (4, -5, 1) as a linear combination of these basis vectors. Jus V = + +
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