Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 2i and corresponding eigenvector v = Determine a fundamental set (i.e., linearly independent set) of solutions for ' = Ax, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. 1(t) = 2(t) = [8] [8] help (formulas) help (matrices) help (formulas) help (matrices) Book: Section 3.4 of Notes on Diffy Qs

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 21E
Question
Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 2i and corresponding
eigenvector
v
=
Determine a fundamental set (i.e., linearly independent set) of solutions for ' = Ax, where
the fundamental set consists entirely of real solutions.
Enter your solutions below. Use t as the independent variable in your answers.
1(t) =
2(t) =
[8]
[8]
help (formulas)
help (matrices)
help (formulas)
help (matrices)
Book: Section 3.4 of Notes on Diffy Qs
Transcribed Image Text:Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 2i and corresponding eigenvector v = Determine a fundamental set (i.e., linearly independent set) of solutions for ' = Ax, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. 1(t) = 2(t) = [8] [8] help (formulas) help (matrices) help (formulas) help (matrices) Book: Section 3.4 of Notes on Diffy Qs
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