Suppose A is a 2 x 2 real matrix with an eigenvalue λ = 1 + 4i and corresponding eigenvector -1 + i [++] i V 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) = =

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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Suppose A is a 2 × 2 real matrix with an eigenvalue A = 1+ 4i and corresponding eigenvector
-1+i
Determine a fundamental set (i.e., linearly independent set) of solutions for y' = Aj, where the fundamental set
consists entirely of real solutions.
Enter your solutions below. Use t as the independent variable in your answers.
1
ÿ1(t)
ý2(t) =
Transcribed Image Text:Suppose A is a 2 × 2 real matrix with an eigenvalue A = 1+ 4i and corresponding eigenvector -1+i Determine a fundamental set (i.e., linearly independent set) of solutions for y' = Aj, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. 1 ÿ1(t) ý2(t) =
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