(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

solve initial value problem for the equation dx/dt = Ax where A =

[1 -1]

[0 1]

x(0) = [1, 1]^{T}

x(t) = S*e^{lambda*t}*S^{ -1}*x(0)

where S is diagonal matrix, lambda is eigenvalue;

3. The attempt at a solution

I tried to diagonalize it, but I get one eigenvalue =1 mult 2 and I don't have enough eigenvectors to get S!

Am I missing something? and how do i solve it?

Thanks

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# Homework Help: Diff equation by diagonalization

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