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Let [1 00000 A 0 20000 00 3000 000000 0 0 0 1 0 0 0000 10 (a) Find the characteristic polynomial of A and all eigenvalues of A. (b) What are the algebraic and geometric multiplicites of each eigenvalue. (Keep in mind the geometric multiplicity is always at least one and at most the algebraic multiplicity) (c) Is A diagonalizable?

Let [1 00000 A 0 20000 00 3000 000000 0 0 0 1 0 0 0000 10 (a) Find the characteristic polynomial of A and all eigenvalues of A. (b) What are the algebraic and geometric multiplicites of each eigenvalue. (Keep in mind the geometric multiplicity is always at least one and at most the algebraic multiplicity) (c) Is A diagonalizable?

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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Let [1 00000 A 0 20000 00 3000 000000 0 0 0 1 0 0 0000 10 (a) Find the characteristic polynomial of A and all eigenvalues of A. (b) What are the algebraic and geometric multiplicites of each eigenvalue. (Keep in mind the geometric multiplicity is always at least one and at most the algebraic multiplicity) (c) Is A diagonalizable?
Transcribed Image Text:Let [1 00000 A 0 20000 00 3000 000000 0 0 0 1 0 0 0000 10 (a) Find the characteristic polynomial of A and all eigenvalues of A. (b) What are the algebraic and geometric multiplicites of each eigenvalue. (Keep in mind the geometric multiplicity is always at least one and at most the algebraic multiplicity) (c) Is A diagonalizable?
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