Suppose A is a 2 × 2 real matrix witch an eigenvalue A = 5+3i and corresponding eigenvector Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aj, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. 1(t) Ý2(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Chapter 7.3 Question 3

Suppose A is a 2 × 2 real matrix with an eigenvalue A = 5+3i and corresponding eigenvector
v =
Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aj, 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)
Transcribed Image Text:Suppose A is a 2 × 2 real matrix with an eigenvalue A = 5+3i and corresponding eigenvector v = Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aj, 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)
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