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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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 5 

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}) = 1 1 1 1 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 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?
Transcribed Image Text: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}) = 1 1 1 1 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 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?
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