If I have a (1,1) tensor, eg a Lorentz transform, how do I write its inverse? For example:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x'^\mu=\Lambda^\mu_\nu x^\nu[/tex]

Would I multiply on the left by:

[tex](\Lambda^{-1})^\nu_\mu[/tex]?

It seems to make sense, but I'm not 100% sure. I'd prefer to not use anything from matrix multiplication, if that's possible.

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# Inverse of tensor using Einstein notation

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