4. Let A1 -2 1 -3 2 (1) Find the eigenvalues of matrix A and the corresponding eigenvectors. (2) Compute the determinant of A, denoted det(A) and the trace of A, denoted tr(A).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 34E
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4. Let
A =
2 -3 1
1 -2 1
1 -3 2
(1) Find the eigenvalues of matrix A and the corresponding eigenvectors.
(2) Compute the determinant of A, denoted det(A) and the trace of A, denoted tr(A).
Transcribed Image Text:4. Let A = 2 -3 1 1 -2 1 1 -3 2 (1) Find the eigenvalues of matrix A and the corresponding eigenvectors. (2) Compute the determinant of A, denoted det(A) and the trace of A, denoted tr(A).
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