It is just a conjecture that i've made so i'm asking if you can prove it or give a counterexample.

My conjecture :
let A(n) be the square matrix (n+1)x(n+1) with the generic element be

(<--- it's i^(j-1); i post a pic:




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then det(A)!=0


I've tested it to n=9...
moreover, det(A) seems to diverge to +inf with n and i've not found a negative value.

hope someone finds this interesting, goodbye!

Last edited by Fistfiz (2012-11-01 02:03:39)