# Prove the formula for a square Vandermonde matrix.

• Jun 20th 2008, 09:10 PM
mathwizard
Prove the formula for a square Vandermonde matrix.
Vandermonde matrix - Wikipedia, the free encyclopedia

How would one prove that

The determinant of a square Vandermonde matrix (so m=n) can be expressed as:

$
det(V) = \prod_{1 \le i < j \le n} (a_j - a_i)
$
?
• Jun 20th 2008, 09:36 PM
TwistedOne151