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Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USVT. Let the vector s be the vector of diagonal entries of the matrix S in order from largest to smallest. If we want to use the first five singular values to save our compressed images, which of the following would produce the most clear image?

Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USVT. Let the vector s be the vector of diagonal entries of the matrix S in order from largest to smallest. If we want to use the first five singular values to save our compressed images, which of the following would produce the most clear image?

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USV. Let the vector s be the vector of diagonal entries of the matrix S in order from largest to smallest. If we want to use the first five singular values to save our compressed images, which of the following would produce the most clear image? S = (100, 99, 98,97, 96, 95, 0.001,0.0001,...). 03= (10,9, 8, 7,6,0.1,0.001, 0.0001, ...). 93= (5,4, 3, 2, 1,0.1,0.001,0.0001, ...). O3 = (100, 99, 98, 97, 96, 95, 94, 93, ...). 03= (100,99, 98, 97,96, 95,94, 0.0001, ...). %3D O3 = (10,9, 8, 7,6 , 5, 4, 3, ...). 03= (100, 99,98, 97,96, 0.01,0.001,0.0001,....). %3D
Transcribed Image Text:Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USV. Let the vector s be the vector of diagonal entries of the matrix S in order from largest to smallest. If we want to use the first five singular values to save our compressed images, which of the following would produce the most clear image? S = (100, 99, 98,97, 96, 95, 0.001,0.0001,...). 03= (10,9, 8, 7,6,0.1,0.001, 0.0001, ...). 93= (5,4, 3, 2, 1,0.1,0.001,0.0001, ...). O3 = (100, 99, 98, 97, 96, 95, 94, 93, ...). 03= (100,99, 98, 97,96, 95,94, 0.0001, ...). %3D O3 = (10,9, 8, 7,6 , 5, 4, 3, ...). 03= (100, 99,98, 97,96, 0.01,0.001,0.0001,....). %3D
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