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e given a dataset with n samples and three features. ovariance matrix C has eigenvalues (A1, A2, A3) = (5,3, 1) and associated normalized eigenvectors (v1, V2, V3), ||V;|| = 1.

e given a dataset with n samples and three features. ovariance matrix C has eigenvalues (A1, A2, A3) = (5,3, 1) and associated normalized eigenvectors (v1, V2, V3), ||V;|| = 1.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You are given a dataset with n samples and three features. The covariance matrix C has eigenvalues (A1, A2, A3) = (5,3, 1) and associated normalized eigenvectors (vị, V2, V3), ||V;|| = 1. Check the correct statements: Vj • V½ = Skj O b. v Cv3 = 0 maxw w"Cw = 9 where w e R°and||w|| = 1 O d. vCv, = 3 a. O e. w"Cw >0 where w € R³ O O
Transcribed Image Text:You are given a dataset with n samples and three features. The covariance matrix C has eigenvalues (A1, A2, A3) = (5,3, 1) and associated normalized eigenvectors (vị, V2, V3), ||V;|| = 1. Check the correct statements: Vj • V½ = Skj O b. v Cv3 = 0 maxw w"Cw = 9 where w e R°and||w|| = 1 O d. vCv, = 3 a. O e. w"Cw >0 where w € R³ O O
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