Hey there, I just wanted to confirm something, if AB=I where A and B are square matrices and I the identity matrix, can we then say that |A||B|=|I|? Thanks a lot (Hi).

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- Nov 11th 2008, 03:24 PMSuumEorumMatrix identities and determinants
Hey there, I just wanted to confirm something, if AB=I where A and B are square matrices and I the identity matrix, can we then say that |A||B|=|I|? Thanks a lot (Hi).

- Nov 11th 2008, 03:42 PMHellreaver
- Nov 11th 2008, 03:50 PMwhipflip15
You can do that with any matrices (not just the identity) because

$\displaystyle det(AB)=det(A)det(B)$ - Nov 11th 2008, 03:52 PMSuumEorum
Aah I see, thanks :D

- Nov 11th 2008, 03:56 PMHellreaver