The covariance matrix of an image with three spectral components is shown below. Let x₁, x2, and x denote the spectral components of each pixel in the image. Find a new variable of the form y₁ =C₁x₁ + ₂x₂ + 3x3 that has maximum possible variance, subject to the constraint that c² +c+c=1. What percentage of the total variance in the data is explained by y₁? 27.22 19.55 6.00 S 19.55 21.88 13.36 6.00 13.36 25.32

The covariance matrix of an image with three spectral components is shown below. Let x₁, x2, and x denote the spectral components of each pixel in the image. Find a new variable of the form y₁ =C₁x₁ + ₂x₂ + 3x3 that has maximum possible variance, subject to the constraint that c² +c+c=1. What percentage of the total variance in the data is explained by y₁? 27.22 19.55 6.00 S 19.55 21.88 13.36 6.00 13.36 25.32

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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