Let $A$, $B$ and $C$ be matrices in $M_{11}(\mathbb{Z}_{97})$. Is there exists a matrix $D$ such that $det(A-D)=0$, $det(B-D)=0$ but $det(C-D)=-1$?
Is there exists a matrix $E$ such that $det(A-E)=0$, $det(B-E)=0$ but $det(C-E)=1$?
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closed as off topic by Andres Caicedo, Gerry Myerson, Mark Sapir, José Figueroa-O'Farrill, Ryan Budney Apr 10 2011 at 7:45 |
