if A and B are square matrix and satisfy this AB=i find A and B matrix Can we say that A is sufficient condition for each element in b to be an integer is that detA is an integer or Can we say that Because is always an integer matrix Or is it possible to say that A necessary condition for each element in B to be an integer is determinant A lie in {-1,1}
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1Please add periods and capitalise properly it is hard to follow what you are saying. – K Split X Oct 13 '17 at 19:19
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No. Take the matrix $$ A=diag(2,\frac{1}{2}), $$ and $B=A^{-1}$. Then $\det(A)=\det(B)=1$, but the matrix coefficients are not all integers.
Dietrich Burde
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