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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

4 votes

Determinants of "almost identity" matrices.

First of all, it's hard to beat Douglas Zane's one-liner resolving yo's main question. Very short, sweet, and to the point. But, since darij grinberg wants to see "everyone's proofs", I'll add mine to …
drbobmeister's user avatar
2 votes

is there any efficient way to compute the follow matrix equations easily

OK here's my take on this calculation: first of all, observe that if $E$ is any $n \times n$ square matrix, and $\Lambda$ is the diagonal matrix $diag(\lambda_{1}, \lambda_{2}, . . ., \lambda_{n})$, t …
drbobmeister's user avatar