Problem 4 10 Pts In Pca What Property Of The Principal Component Eigenvectors Allows You To Use The Eigenvector Matri 1 (34.92 KiB) Viewed 29 times
What are the properties of the vectors in Q that make Q^T = Q^-1
(=Q inverse) so that Q^T Q = I (identity matrix)? Hint: Arrange Q
as column vectors [q1][q2][q3]... , then Q^T will become row
vectors
[ q1 ]
[ q2 ]
[ q3 ]
...
Problem 4 (10 pts) In PCA, what property of the principal component eigenvectors allows you to use the eigenvector matrix Q to project back from PCA space to input space x = Qa (when the forward projection from the input space to the PCA space is done with Q?, i.e., a = Q7x)? Note: x is in input space, a is in PCA space.
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