a. Find the eigenvalues and eigenvectors of the matrix (8) A₁ = 21(t) x₂(t) v1 = b. Solve the system of differential equations 13 -6 36 17 = , and X2 -13 -6] 36 17 = V2 [8] satisfying the initial conditions [¹0] - [1] =
a. Find the eigenvalues and eigenvectors of the matrix (8) A₁ = 21(t) x₂(t) v1 = b. Solve the system of differential equations 13 -6 36 17 = , and X2 -13 -6] 36 17 = V2 [8] satisfying the initial conditions [¹0] - [1] =
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. Find the eigenvalues and eigenvectors of the matrix
(18)
21(t)
x₂(t)
=
X₁
=
=
b. Solve the system of differential equations '
=
"
v₁ =
-13 -6]
36 17
[
, and X₂ = ₁02 =
X2
-13 -6]
[18]
36 17
satisfying the initial conditions
[x₁(0)
[x₂(0).
= [1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F553c03f6-c199-4870-a061-8ddf7adde455%2F301a82fb-ed0e-4cb7-be40-b8d7d009e740%2Fpcr4wsw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. Find the eigenvalues and eigenvectors of the matrix
(18)
21(t)
x₂(t)
=
X₁
=
=
b. Solve the system of differential equations '
=
"
v₁ =
-13 -6]
36 17
[
, and X₂ = ₁02 =
X2
-13 -6]
[18]
36 17
satisfying the initial conditions
[x₁(0)
[x₂(0).
= [1]
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