It's very difficult for me to find any simple literature to explain this idea.(adsbygoogle = window.adsbygoogle || []).push({});

J[itex]\in[/itex]M_{n}(ℂ) is a coninvolutory (or a "coninvolution") if A^{-1}=[itex]\overline{A}[/itex]

I'm looking to prove this lemma:

Let A be an element of M_{n}(ℂ) and A is nonsingular, then [itex]\bar{A}[/itex]^{-1}A is coninvolutory.

I see that the identity matrix is a coninvolution. Does anyone have another example?

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# Coninvolution of a Matrix

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