The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the syste x₁ = 9x₁ + 2x2 + 8x3, X'2 = 2x₁ + 15x2 + 2x3, x'3 = 8x₁ + 2x2 + 9x3 What is the general solution in matrix form? x(t) =

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
Question

Answer in matrix form

The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system.
x₁ = 9x₁ + 2x₂ + 8x3, x'2 = 2x₁ + 15x2 + 2x3, x'3 = 8x₁ + 2x₂ +9x3
What is the general solution in matrix form?
x(t) =
Transcribed Image Text:The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system. x₁ = 9x₁ + 2x₂ + 8x3, x'2 = 2x₁ + 15x2 + 2x3, x'3 = 8x₁ + 2x₂ +9x3 What is the general solution in matrix form? x(t) =
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning