Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let {V₁, . . . , Vk} be an orthogonal set in R”. Which of the following are true?
Select one or more:
✔ The rank of the n x k matrix with column vectors {V₁, ..., Vk} is k
□ d(vi, Vj)
The rank of the n x k matrix with column vectors {v₁, ..., vk} is n
If {V₁,..., V} is orthonormal, then ||
₁ v₁||² = k
Ο ||Σ= || = Σ=1||v||2
-
1 for every i + j
i=1
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Transcribed Image Text:Let {V₁, . . . , Vk} be an orthogonal set in R”. Which of the following are true? Select one or more: ✔ The rank of the n x k matrix with column vectors {V₁, ..., Vk} is k □ d(vi, Vj) The rank of the n x k matrix with column vectors {v₁, ..., vk} is n If {V₁,..., V} is orthonormal, then || ₁ v₁||² = k Ο ||Σ= || = Σ=1||v||2 - 1 for every i + j i=1
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