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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 …
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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 …
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