Let 4 = ²₁ 4 =1²2₂2₂] 2. a. Give the characteristic equation of A and verify that A satisfies the characteristic equation. b. Confirm that (A − 31)(A − 1) = O, where I is the 2x2 identity matrix and O is the 2x2 zero matrix. How does this relate to part a?
Let 4 = ²₁ 4 =1²2₂2₂] 2. a. Give the characteristic equation of A and verify that A satisfies the characteristic equation. b. Confirm that (A − 31)(A − 1) = O, where I is the 2x2 identity matrix and O is the 2x2 zero matrix. How does this relate to part a?
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 4 = [1 2]
a. Give the characteristic equation of A and verify that A satisfies the characteristic
equation.
b. Confirm that (A − 31)(A − 1) = O, where I is the 2x2 identity matrix and O is the
2x2 zero matrix. How does this relate to part a?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6e77107-ef1d-4e39-badf-4decafa47f1b%2F84126f40-dcea-43de-8894-76f3fff031b4%2Fzqw00v_processed.png&w=3840&q=75)
Transcribed Image Text:Let 4 = [1 2]
a. Give the characteristic equation of A and verify that A satisfies the characteristic
equation.
b. Confirm that (A − 31)(A − 1) = O, where I is the 2x2 identity matrix and O is the
2x2 zero matrix. How does this relate to part a?
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