) Consider the linear system X₁ = Y vi = | a. Find the eigenvalues and eigenvectors for the coefficient matrix. 18 = -3-2 b. Find the real-valued solution to the initial value problem {" 5 Use t as the independent variable in your answers. y₁ (t) = y₂(t) = 3 - 3y1 - 2y2, 5y₁ + 3y2, y. and X₂ = V2 y₁ (0) = 9, Y₂ (0) = -10.
) Consider the linear system X₁ = Y vi = | a. Find the eigenvalues and eigenvectors for the coefficient matrix. 18 = -3-2 b. Find the real-valued solution to the initial value problem {" 5 Use t as the independent variable in your answers. y₁ (t) = y₂(t) = 3 - 3y1 - 2y2, 5y₁ + 3y2, y. and X₂ = V2 y₁ (0) = 9, Y₂ (0) = -10.
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 32E
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