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=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.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Consider A = a. [2²₂2 =3) -2 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 = [13]. That is, show how Ax is a sum of the scaled projections of x on the two eigenspaces. (This is similar to the diagram that was made in the lecture.)
Transcribed Image Text:2. Consider A = a. [2²₂2 =3) -2 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 = [13]. That is, show how Ax is a sum of the scaled projections of x on the two eigenspaces. (This is similar to the diagram that was made in the lecture.)
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