2. Consider A =a.[2²₂2 =3)-2Find the spectral decomposition of A. Show your work.b. Make a diagram showing the spectral decomposition of A as applied to the vector x = [13].Thatis, show how Ax is a sum of the scaled projections of x on the two eigenspaces. (This is similar tothe diagram that was made in the lecture.)

Answered: Image /qna-images/answer/e3cca1a6-9901-4131-b133-f95463528db8.jpg

=1²2²₂2=1 Consider A = Find the spectral decomposition of A. Show your work. b. Make a diagram showing the spectral decomposition of A as applied to the vector x = [2]. That is, show how Ax is a sum of the scaled projections of on the two eigenspaces. (This is similar to the diagram that was made in the lecture.)

=1²2²₂2=1 Consider A = Find the spectral decomposition of A. Show your work. b. Make a diagram showing the spectral decomposition of A as applied to the vector x = [2]. That is, show how Ax is a sum of the scaled projections of on the two eigenspaces. (This is similar to the diagram that was made in the lecture.)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 77E

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