List the eigenvalues of the matrix A₁, A₂= -1,1 Find an eigenvector ₁ for A₁ = -1: 1 3 Find an eigenvector ₂ for A₂ = 1 : 1 1 23 The fundamental matrix X(t) is ▼ 3 ▼ Using the eigenvectors ₁ and 2 that you found in parts 2 and 3, find the fundamental matrix solution = X(t)e to the system Par Part Part 4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 65E
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List the eigenvalues of the matrix
A₁, A₂ = -1,1
Find an eigenvector ₁ for A₁ = -1:
1
3
Find an eigenvector ₂ for A₂ = 1:
1
23
The fundamental matrix X(t) is
▼
T
Using the eigenvectors ₁ and 2 that you found in parts 2 and 3, find the fundamental matrix solution
= X(t)e to the system
Part 2
Part 3
Part 4 of
Transcribed Image Text:List the eigenvalues of the matrix A₁, A₂ = -1,1 Find an eigenvector ₁ for A₁ = -1: 1 3 Find an eigenvector ₂ for A₂ = 1: 1 23 The fundamental matrix X(t) is ▼ T Using the eigenvectors ₁ and 2 that you found in parts 2 and 3, find the fundamental matrix solution = X(t)e to the system Part 2 Part 3 Part 4 of
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