It is required to find the transformation matrix T of the following image A = This transformation matrix will transfer the image into diagonal format. Therefore, you should first (1) calculate AA", then (2) calculate the eigen values of AA" and (3) the normalized eigen vectors of AA"T=[V1 _V2]. Then, (4) calculate the matrix 2 = T" AT (it should be a diagonal

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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It is required to find the transformation matrix T of the following image A = (
This
transformation matrix will transfer the image into diagonal format. Therefore, you should first
(1) calculate AA", then (2) calculate the eigen values of AA" and (3) the normalized eigen
vectors of AA"T=[V1 V2]. Then, (4) calculate the matrix 2 = T" AT (it should be a diagonal
matrix) (
)( Verify that (5)A = 1,v,v," + 1zvzvz"
T
Is the image A can be approximated with either 21v1vi*or 22v2v2"
and why?
Transcribed Image Text:It is required to find the transformation matrix T of the following image A = ( This transformation matrix will transfer the image into diagonal format. Therefore, you should first (1) calculate AA", then (2) calculate the eigen values of AA" and (3) the normalized eigen vectors of AA"T=[V1 V2]. Then, (4) calculate the matrix 2 = T" AT (it should be a diagonal matrix) ( )( Verify that (5)A = 1,v,v," + 1zvzvz" T Is the image A can be approximated with either 21v1vi*or 22v2v2" and why?
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