- #1

Rorschach

- 10

- 0

The eigenvalues of the matrix are $\lambda_1, \lambda_2 = 0,5$ and eigenvectors are $v_1 = (1,2)^t$ and $v_2 = (2, 1)^t$.

So I thought the solution would be $\mathbf{X} = c_1 (1,2)^t + c_2(2,1)^{t}e^{5t}$. But apparently this is wrong? Why?

P.S. the t on the vectors denotes transpose, not to be confused with the t on the exponential.