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Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 4i and corresponding eigenvector * = [- ¹ + 1 v= Determine a fundamental set (i.e., linearly independent set) of solutions for ' = A, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. x1 (t) x₂ (t) = help (formulas) help (matrices) help (formulas) help (matrices)

Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 4i and corresponding eigenvector * = [- ¹ + 1 v= Determine a fundamental set (i.e., linearly independent set) of solutions for ' = A, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. x1 (t) x₂ (t) = help (formulas) help (matrices) help (formulas) help (matrices)

Advanced Engineering Mathematics
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 À = 3 + 4i and corresponding eigenvector -1 i == [- ++ 1. i Determine a fundamental set (i.e., linearly independent set) of solutions for ' = Ax, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. x₁ (t) = *₂(t) = → A ← help (formulas) help (matrices) help (formulas) help (matrices)
Transcribed Image Text:Suppose A is a 2 × 2 real matrix with an eigenvalue À = 3 + 4i and corresponding eigenvector -1 i == [- ++ 1. i Determine a fundamental set (i.e., linearly independent set) of solutions for ' = Ax, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. x₁ (t) = *₂(t) = → A ← help (formulas) help (matrices) help (formulas) help (matrices)
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