Consider another dataset {x} consisting of 4-dimensional vectors. Given below are mean({x}) and the normalized eigenvectors u; of Covmat({x}), arranged in order of decreasing eigenvalue. Also given is an item x₁ from the dataset. mean({x}) u₁ +0.5 +0.5 +0.5 +0.5 U2 = +0.5 -0.5 -0.5 +0.5] U3 = +0.5 +0.5 -0.5 -0.5 U4 = +0.5 -0.5 +0.5 -0.5 X1 = 3 5 7 Suppose you project the dataset onto its first two principal components and plot the resulting projection on a pair of axes. What are the coordinates of the projected point that represents x₁?
Consider another dataset {x} consisting of 4-dimensional vectors. Given below are mean({x}) and the normalized eigenvectors u; of Covmat({x}), arranged in order of decreasing eigenvalue. Also given is an item x₁ from the dataset. mean({x}) u₁ +0.5 +0.5 +0.5 +0.5 U2 = +0.5 -0.5 -0.5 +0.5] U3 = +0.5 +0.5 -0.5 -0.5 U4 = +0.5 -0.5 +0.5 -0.5 X1 = 3 5 7 Suppose you project the dataset onto its first two principal components and plot the resulting projection on a pair of axes. What are the coordinates of the projected point that represents x₁?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 50EQ
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