Suppose we have three points in a two dimensional space: (3,1), (2,1), and (7,7). We want to perform PCA on these points, so we construct a 2-by-2 matrix whose eigenvectors are the directions that best represent these three points. Construct this matrix, as outlined in the PCA algorithm discussed in class, and identify, in the list below, one of its elements. O a) 8 O b) 9 c) 24 d) 18

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section2.4: Linear Independence And Linear Dependence
Problem 8P
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Suppose we have three points in a two dimensional space: (3,1), (2,1), and
(7,7). We want to perform PCA on these points, so we construct a 2-by-2
matrix whose eigenvectors are the directions that best represent these
three points.
Construct this matrix, as outlined in the PCA algorithm discussed in class,
and identify, in the list below, one of its elements.
O a) 8
O b) 9
c) 24
d) 18
Transcribed Image Text:Suppose we have three points in a two dimensional space: (3,1), (2,1), and (7,7). We want to perform PCA on these points, so we construct a 2-by-2 matrix whose eigenvectors are the directions that best represent these three points. Construct this matrix, as outlined in the PCA algorithm discussed in class, and identify, in the list below, one of its elements. O a) 8 O b) 9 c) 24 d) 18
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