Let V1 = [0, 0, 5, 0], V, = [3, 4, 0, 0] and V3 = [4, 0, – 2, – 4] Use the Gram-Schmidt procedure to construct an ordered orthonormal basis (W1, W2, W3) for span(V1, V2, V3). - W1 W2 = W3 =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 41E: Use the inner product u,v=2u1v1+u2v2 in R2 and Gram-Schmidt orthonormalization process to transform...
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Let V = [0, 0, 5, 0], V2 = [3, 4, 0, 0] and V3 = [4, 0, – 2, – 4]
. Use the Gram-Schmidt procedure to construct an ordered
orthonormal basis (W1, W2, W3) for span(V1, V2, V3).
W1
W2
W3
Transcribed Image Text:Let V = [0, 0, 5, 0], V2 = [3, 4, 0, 0] and V3 = [4, 0, – 2, – 4] . Use the Gram-Schmidt procedure to construct an ordered orthonormal basis (W1, W2, W3) for span(V1, V2, V3). W1 W2 W3
Let V = [– 7, – 7, 0] and V2 = [0, 3, – 4]. Use the Gram-
|
Schmidt procedure to construct an ordered orthonormal basis
(W1, W2) for span(V1, V2).
W1
W2
Transcribed Image Text:Let V = [– 7, – 7, 0] and V2 = [0, 3, – 4]. Use the Gram- | Schmidt procedure to construct an ordered orthonormal basis (W1, W2) for span(V1, V2). W1 W2
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