matrix

Let a_1,..., a_n E real number, where n>=2. Show that

1 a_1 (a_1)^2 ... (a_1)^(n-1)
1 a_2 (a_2)^2 ... (a_2)^(n-1)
... ... ... ... ...
1 a_n (a_n)^2 ... (a_n)^(n-1)

= Π(1=< i < j =< n) [(a_ j) –(a_i)]

(i.e
E denotes "in the interval of",
Π denotes "product of a series of terms")

PS. just in case someone doesnt get it, the big thing above is a matrix

THX a lot!