Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. -1 N/W 2 1 2 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
1
-1
2
[A]
1
(a) the characteristic equation
N/W
(b) the eigenvalues (Enter your answers from smallest to largest.)
(2₂₁ 2₂) = (
a basis for each of the corresponding eigenspaces
x₂
li
11
Transcribed Image Text:2 Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 1 -1 2 [A] 1 (a) the characteristic equation N/W (b) the eigenvalues (Enter your answers from smallest to largest.) (2₂₁ 2₂) = ( a basis for each of the corresponding eigenspaces x₂ li 11
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