Prove that an nxn matrix of:

[1 2 3 .... n

n+1 n+2 n+3 .... 2n

2n+1 2n+2....3n

....

(n-1)(n+1)....n^2]

will always be singular.

(Sorry, I don't know how to use the math HTML, but basically saying a matrix like

[1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16])