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2. Prove that the following vectors |v1) = (1, 1, 0) |v2) = (1, 2, 0) |v3) = (0, 1, 2) span C3. Are they orthonormal? If not, use the Gram-Schmidt proce- dure to find an orthonormal basis set in terms of |v1), [v2), and |v3).

2. Prove that the following vectors |v1) = (1, 1, 0) |v2) = (1, 2, 0) |v3) = (0, 1, 2) span C3. Are they orthonormal? If not, use the Gram-Schmidt proce- dure to find an orthonormal basis set in terms of |v1), [v2), and |v3).

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 16CM
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2. Prove that the following vectors |v1) = (1, 1, 0) |v2) = (1, 2, 0) |v3) = (0, 1, 2) span C3. Are they orthonormal? If not, use the Gram-Schmidt proce- dure to find an orthonormal basis set in terms of |vi), |v2), and |v3).
Transcribed Image Text:2. Prove that the following vectors |v1) = (1, 1, 0) |v2) = (1, 2, 0) |v3) = (0, 1, 2) span C3. Are they orthonormal? If not, use the Gram-Schmidt proce- dure to find an orthonormal basis set in terms of |vi), |v2), and |v3).
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