Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I'm specifically trying to compute (VΔY^{T})^{-1}, where V is nxn and orthogonal, Δ is diagonal, and Y is nonsingular.

In general we have (AB)^{-1}= B^{-1}A^{-1}

But how do we do this in general for many matrices? Is there a method, and as long as the matrix dimensions agreed, does the structure (i.e. orthogonal, nonsingular, SPD, etc) matter when computing the inverse of multiple matrices?

I can't find this anywhere on the internet.

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Several matrix inverse properties

**Physics Forums | Science Articles, Homework Help, Discussion**