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

If I have block matrices A,B,C and D all of which are non singular would this relationship hold; my main concern is preserving order of matrix multiplication:

if ADB=C

then AD=B^-1C

D=B^-1CA^-1

D^-1 = (BC^-1A)

Also is it okay to assume the inverse of a block matrix is equal to a matrix that contains as its elements the inverse of each individual block?

Thanks for any help

Emma

**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!

# Matrix multiplication preserve order Block matrix

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