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## Homework Statement

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;

## 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