Find the general solution of the system of equations x': ( 2 0 Eigenvalues=₁^₂=2, ^3=2 Eigenvectors = (1) * “- (²:1), ²¹ (1) 4 2 -1 1 X.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 1BEXP
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You may use a calculator to perform basic calculations on these problems: ? Row reduction

? Matrix multiplication

? Matrix inverses

? Finding eigenvalues and eigenvectors

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Please show your process for calculating generalized eigenvectors.

 

2. Find the general solution of the system of equations a'
=
Eigenvectors
1
(2
Eigenvalues ₁₁ r₂ = 2₁ ^3=2
"=1,
J
1
1
0 -1
-3
5º¹-(ij), 5ª¹-( ? )
4
2
1
−1
1
x.
Transcribed Image Text:2. Find the general solution of the system of equations a' = Eigenvectors 1 (2 Eigenvalues ₁₁ r₂ = 2₁ ^3=2 "=1, J 1 1 0 -1 -3 5º¹-(ij), 5ª¹-( ? ) 4 2 1 −1 1 x.
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