Consider the linear system a. Find the eigenvalues and eigenvectors for the coeffhcient matrix. and A2 = For each eigenpair in the previous part, form a solution of y'= Ay. Use t as the independent variable in your answers. (t) = and y2(t) = Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions? Choose

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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Consider the linear system
a. Find the eigenvalues and eigenvectors for the coeffhcient matrix.
and A2 =
For each eigenpair in the previous part, form a solution of y'= Aỹ. Use t as the independent variable in your answers.
(t) =
and y2(t) =
Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions? Choose
Transcribed Image Text:Consider the linear system a. Find the eigenvalues and eigenvectors for the coeffhcient matrix. and A2 = For each eigenpair in the previous part, form a solution of y'= Aỹ. Use t as the independent variable in your answers. (t) = and y2(t) = Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions? Choose
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