Arnold1
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Hi. Here is a problem I found in my algebra book and I don't know how to solve it. Could you please help me?
Show that there exists a matrix A \in M(n,n;R), such that m_{ij} \in \{-1,0,1\} and det A=1995 (I think it can be any other number as well, but the book was printed in 1995 :) )
My problem is that I don't know what I should do to prove that there exist a certain matrix. I guess I should show such a matrix, but I don't know how to do that anyway.
Show that there exists a matrix A \in M(n,n;R), such that m_{ij} \in \{-1,0,1\} and det A=1995 (I think it can be any other number as well, but the book was printed in 1995 :) )
My problem is that I don't know what I should do to prove that there exist a certain matrix. I guess I should show such a matrix, but I don't know how to do that anyway.