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0 -2 0 -2 2 50 1 4 2 4 2 2 10 5 1: Let A = a) Find all eigenvalues of A. b) Find a basis for each eigenspace of A. c) Find a matrix P such that D =P-'AP where D is a diagonal matrix.

0 -2 0 -2 2 50 1 4 2 4 2 2 10 5 1: Let A = a) Find all eigenvalues of A. b) Find a basis for each eigenspace of A. c) Find a matrix P such that D =P-'AP where D is a diagonal matrix.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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0 -2 0 2 5 4 2 4 0 5 -2 1: Let A = 2 2 1 a) Find all eigenvalues of A. b) Find a basis for each eigenspace of A. c) Find a matrix P such that D = P-'AP where D is a diagonal matrix. Notes: You must compute eigenvalues by hand and show your com- putation. For eigenspaces you can use computer algebra systems to find RREF.
Transcribed Image Text:0 -2 0 2 5 4 2 4 0 5 -2 1: Let A = 2 2 1 a) Find all eigenvalues of A. b) Find a basis for each eigenspace of A. c) Find a matrix P such that D = P-'AP where D is a diagonal matrix. Notes: You must compute eigenvalues by hand and show your com- putation. For eigenspaces you can use computer algebra systems to find RREF.
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