"Find the general solution for the system of ordinary differential equations X' = AX A = ~4 55_"
Added by Amanda G.
Step 1
The characteristic equation is det(A-λI) = 0, where I is the identity matrix and λ is the eigenvalue. det(A-λI) = (4-λ)(5-λ)-20 = λ^2 - 9λ = λ(λ-9) So the eigenvalues are λ1 = 0 and λ2 = 9. Show more…
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