linear algebra: Suppose entries in A are integers, det A = 1

[Siesta]

Suppose that all the entries in A are integers and det A = 1. Explain why all the entries in A^-1 are also integers.

 

[pka]

Re: linear algebra question

Suppose that all the entries in A are integers and det A = 1. Explain why all the entries in A^-1 are also integers.

How are the entries in \(\displaystyle A^{-1}\) found?