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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -




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Topic review (newest first)

2012-11-01 02:01:37

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:

[Link fixed by admin]

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!

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