Suppose A is a 2 x 2 real matrix with an eigenvalue λ = 5+ 3i and corresponding eigenvector *-[-+++9 [4] = Determine a fundamental set (i.e., linearly independent set) of solutions for y' = Ay, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. 181 181 3 (t) = ₂(t) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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Suppose A is a 2 x 2 real matrix with an eigenvalue X = 5+ 3i and corresponding eigenvector
*-[-+++9
[4]
=
Determine a fundamental set (i.e., linearly independent set) of solutions for y' = Ay, where the fundamental set consists entirely of
real solutions.
Enter your solutions below. Use t as the independent variable in your answers.
[B]
181
3 (t)
=
₂(t) =
Transcribed Image Text:Suppose A is a 2 x 2 real matrix with an eigenvalue X = 5+ 3i and corresponding eigenvector *-[-+++9 [4] = Determine a fundamental set (i.e., linearly independent set) of solutions for y' = Ay, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. [B] 181 3 (t) = ₂(t) =
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