Suppose A is a 2 x 2 real matrix with an eigenvalue λ = 2 + 3i and corresponding eigenvector -1+i V = Determine a fundamental set (i.e., linearly independent set) of solutions for ' = Ay, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. F₁ (t) = F₂(t) =
Suppose A is a 2 x 2 real matrix with an eigenvalue λ = 2 + 3i and corresponding eigenvector -1+i V = Determine a fundamental set (i.e., linearly independent set) of solutions for ' = Ay, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. F₁ (t) = F₂(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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Transcribed Image Text:Suppose A is a 2 x 2 real matrix with an eigenvalue X = 2 + 3i and corresponding eigenvector
-1 + i
V
J₂ (t) =
=
Determine a fundamental set (i.e., linearly independent set) of solutions for ÿ' = Aÿ, where the fundamental set consists entirely of real solutions.
Enter your solutions below. Use t as the independent variable in your answers.
J₁ (t) =
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