The covariance matrix of an image with three spectral components is shown below. Let x₁, x₂, and x3 denote the spectral components of each pixel in the image. Finda new variable of the form y₁ = C₁X₁ + C₂X₂ + C3x3 that has maximum possible variance, subject to the constraint that c3 + c3 + c3 = 1. What percentage of the totalvariance in the data is explained by y₁?27.22 19.55 6.00S= 19.55 21.88 13.366.00 13.36 25.32(...)Which of the following could be the new variable y₁?O A. Y₁ = -0.56x₁ +0.06x2 -0.83x3O C.y₁ = 0.62x₁ +0.62x2 +0.62x3O B. y₁ = -0.54x₁ -0.78x2 +0.32x3ⒸD. y₁=0.54x₁1 -0.78x2 + 0.32x3O F. y₁ = 0.62x₁ +0.63x2 +0.47x3y₁ = 0.62x₁ +0.63x2 -0.47x3O E. y₁=0.54x₁1 -0.78x2 -0.32x3O G. y₁ = 0.56x₁ +0.06x2 -0.83x3O H.

The new variable of Y1 will be y1=0.54x1-0.78x2+0.32x3.

Answered: The covariance matrix of an image with…

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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