I've found and interesting problem but a little difficult for me.
The problem is to prove that the set of matrices with all eigenvalues of nonzero real part is dense in $\mathbb{R}^{n^2}$ with the usual topology.
I've found and interesting problem but a little difficult for me.
The problem is to prove that the set of matrices with all eigenvalues of nonzero real part is dense in $\mathbb{R}^{n^2}$ with the usual topology.