Statistics for CSQuestion 5 Consider another dataset {x} consisting of 4-dimensional vectors. Given below are mean({x}) and thenormalized eigenvectors u; of Covmat({x}), arranged in order of decreasing eigenvalue. Also given is an item x₁ from thedataset.mean({x})=1111U₁-+0.5+0.5+0.5+0.5U₂ =+0.5-0.5-0.5+0.5U3 =+0.5+0.5-0.5-0.5U4 =+0.5-0.5+0.5-0.5X13357Suppose 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?

Given the mean and the normalized eigenvectors of Covmat, arranged in order of decreasing…

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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