Answered: The matrix -11 12] -8 9 has eigenvalues… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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Question

The matrix
-11 12]
-8 9
has eigenvalues ₁ = 1 and 2 = -3. Find eigenvectors
corresponding to these eigenvalues.
v1
=
[8]
and v₂ =
=
[8]
help (matrices)
Find the solution to the linear system of differential equations
satisfying the initial conditions
x1(0)
c2(0).
x1(t)
=
help (formulas)
x2(t)
=
help (formulas)
Book: Section 3.4 of Notes on Diffy Qs
-11
12] x1
=
9
x2

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