Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. -1 2 1 (a) the characteristic equation 4x – 1 = 0 갓⒤갓⒤빨

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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2.2 

Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
1
-1
3
1
2
(a) the characteristic equation
2.
4x – 1= 0
(b) the eigenvalues (Enter your answers from smallest to largest.)
1
1
(^q, 22) = (
2
a basis for each of the corresponding eigenspaces
X1 =
(7) = r(1')
X2 =
Transcribed Image Text:Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 1 -1 3 1 2 (a) the characteristic equation 2. 4x – 1= 0 (b) the eigenvalues (Enter your answers from smallest to largest.) 1 1 (^q, 22) = ( 2 a basis for each of the corresponding eigenspaces X1 = (7) = r(1') X2 =
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