a. Given that ₁ = -[1] and A₁ 1₂ -[3]. and ₂ = 23 are eigenvectors of the matrix 11 12 determine the corresponding eigenvalues.

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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a. Given that 7₁
A₁
1₂
and ₂ =
are eigenvectors of the matrix
b. Find the solution to the linear system of differential equations
and y(0)=-6.
z(t)
{
l'
11
12
_8]. determine the corresponding eigenvalues.
11z + 8y
-122-9y
satisfying the initial conditions (0) = 3
Transcribed Image Text:a. Given that 7₁ A₁ 1₂ and ₂ = are eigenvectors of the matrix b. Find the solution to the linear system of differential equations and y(0)=-6. z(t) { l' 11 12 _8]. determine the corresponding eigenvalues. 11z + 8y -122-9y satisfying the initial conditions (0) = 3
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