E real matrix with an eigenvalue A = 5 + 3i and corresponding eigenvector -1+ v = i nental set (i.e., linearly independent set) of solutions for j' = Aỹ, where the fundamental set consists entirely of real solutions. s below. Use t as the independent variable in your answers. ÿı(t) = 7z(t)

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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7.3 3

Suppose A is a 2 × 2 real matrix with an eigenvalue d = 5 + 3i and corresponding eigenvector
= [""]
-1+
Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aỹ, where the fundamental set consists entirely of real solutions.
Enter
your
solutions below. Use t as the independent variable in your answers.
y1(t)
Ý2(t)
Transcribed Image Text:Suppose A is a 2 × 2 real matrix with an eigenvalue d = 5 + 3i and corresponding eigenvector = [""] -1+ Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aỹ, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. y1(t) Ý2(t)
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