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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
3
votes
1
answer
321
views
determinant of diagonal - fixed
I have to study/evaluate many determinants of the form
$$
f_M(J)=\det(J-M),
$$
where $M$ is fixed, and $J$ is a diagonal matrix (with
0/1 on the diagonal, if it helps.) In my problem
$M$ is fixed …
1
vote
0
answers
188
views
Eigenvectors of contraction times projection
Suppose $A$ is a real $n\times n$ matrix with real eigenvalues:
$$
1=\lambda_1>|\lambda_2|\ge \ldots\ge |\lambda_n|>0.
$$
Suppose $B$ is an involution, for simplicity let us assume that
$B$ is diago …