Consider the linear system ² - [ 8 - 1] = = x. 6 Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ = and V₁ A2 = 0 = help (numbers) help (matrices) help (numbers) help (matrices) For each eigenpair in the previous part, form a solution of ' = Añ. Use t as the independent variable in your
Consider the linear system ² - [ 8 - 1] = = x. 6 Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ = and V₁ A2 = 0 = help (numbers) help (matrices) help (numbers) help (matrices) For each eigenpair in the previous part, form a solution of ' = Añ. Use t as the independent variable in your
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the linear system
X1
=
and
Find the eigenvalues and eigenvectors for the coefficient matrix.
A₂ = 0
JI
←
A, V₁
9
V2 =
81
=
=
-3
6
-
-
4
x.
help (numbers)
help (matrices)
help (numbers)
help (matrices)
For each eigenpair in the previous part, form a solution of a' = Ax. Use t as the independent variable in your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb154af4-0384-48be-b4dd-887afc51ba51%2F155307e7-9b36-4dec-8280-f4e955cdd4b7%2F4mayyjq_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the linear system
X1
=
and
Find the eigenvalues and eigenvectors for the coefficient matrix.
A₂ = 0
JI
←
A, V₁
9
V2 =
81
=
=
-3
6
-
-
4
x.
help (numbers)
help (matrices)
help (numbers)
help (matrices)
For each eigenpair in the previous part, form a solution of a' = Ax. Use t as the independent variable in your answers.
![For each eigenpair in the previous part, form a solution of ' = Aē. Use t as the independent variable in your answers.
help (formulas)
help (matrices)
*₁(t) =
and
T₂(t)
=
ID
—
-
help (formulas)
help (matrices)
Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions?
Choose](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb154af4-0384-48be-b4dd-887afc51ba51%2F155307e7-9b36-4dec-8280-f4e955cdd4b7%2Fued23kc_processed.png&w=3840&q=75)
Transcribed Image Text:For each eigenpair in the previous part, form a solution of ' = Aē. Use t as the independent variable in your answers.
help (formulas)
help (matrices)
*₁(t) =
and
T₂(t)
=
ID
—
-
help (formulas)
help (matrices)
Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions?
Choose
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