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If A is an (n x n)-matrix of real constants that has a complex eigenvalue & and eigenvector v, then the real and imagina
Posted: Thu Jul 07, 2022 2:20 pm
by answerhappygod
- If A Is An N X N Matrix Of Real Constants That Has A Complex Eigenvalue And Eigenvector V Then The Real And Imagina 1 (17.62 KiB) Viewed 58 times
If A is an (n x n)-matrix of real constants that has a complex eigenvalue & and eigenvector v, then the real and imaginary parts of w(t) = ev are linearly independent real-valued
solutions of x'=Ax: x₁(t) = Re(w(t)) and x₂(t) = Im(w(t)), The matrix in the following system has complex eigenvalues; use the above theorem to find the general (real-valued) solution. 070 -700x 009 x(t) = Find the particular solution given the initial conditions. x(t)= x(0) - - Submit Answer 123