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## Homework Statement

[tex]S \in C^{mxm}[/tex] is skew-hermitian. [tex]S^{*}=-S[/tex]

I need to show that I-S is nonsingular.

## Homework Equations

## The Attempt at a Solution

There are two things that I thought. First was start with det(I-A)[tex]\neq[/tex]0 since (I-A) is nonsingular.

Other attempt was to try to show [tex](I-S)(I-S)^{-1}=(I-S)^{-1}(I-S)=I[/tex].

Unfortunately, I could get nowhere. Thanks in advance for your help...