Suppose A is a 2 x 2 real matrix with an eigenvalue X = 4 + 3i and corresponding eigenvector v= * = [-¹ + 1. Determine a fundamental set (i.e., linearly independent set) of solutions for ÿ' = Ay, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. ÿ₁(t) ÿ2(t) =
Suppose A is a 2 x 2 real matrix with an eigenvalue X = 4 + 3i and corresponding eigenvector v= * = [-¹ + 1. Determine a fundamental set (i.e., linearly independent set) of solutions for ÿ' = Ay, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. ÿ₁(t) ÿ2(t) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 4 + 3¿ and corresponding eigenvector
-1 + i]
-[-¹+1).
i
Determine a fundamental set (i.e., linearly independent set) of solutions for ÿ' = Ay, where the fundamental set consists entirely of real solutions.
Enter your solutions below. Use t as the independent variable in your answers.
ÿ₁(t) =
=
v =
₂(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbff2935-77bb-4550-bfd1-d595e6271f30%2Feed81f9b-1eb9-4a7d-8b51-18b16583b9fc%2Ftlw87c_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 4 + 3¿ and corresponding eigenvector
-1 + i]
-[-¹+1).
i
Determine a fundamental set (i.e., linearly independent set) of solutions for ÿ' = Ay, where the fundamental set consists entirely of real solutions.
Enter your solutions below. Use t as the independent variable in your answers.
ÿ₁(t) =
=
v =
₂(t) =
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