ausmathgenius420
New member
- Joined
- Aug 5, 2021
- Messages
- 44
Hi,
My question is if you have 2 matrices A and B, such that:
[math]AB=24I[/math]How can I prove that;
[math]A^{-1}=\frac{1}{24}B[/math]
Intuitively it makes sense, however my textbook doesn't provide a proof for this which I'm curious about so hopefully someone can explain.
Edit:
24I was just an example I chose. These equations can be generalised to
[math]AB=xI[/math]Thus
[math]A^{-1}=\frac{1}{x}B[/math]
My question is if you have 2 matrices A and B, such that:
[math]AB=24I[/math]How can I prove that;
[math]A^{-1}=\frac{1}{24}B[/math]
Intuitively it makes sense, however my textbook doesn't provide a proof for this which I'm curious about so hopefully someone can explain.
Edit:
24I was just an example I chose. These equations can be generalised to
[math]AB=xI[/math]Thus
[math]A^{-1}=\frac{1}{x}B[/math]
Last edited: