Question

i) What is the degree of the determinant
(A) 1 (B) 3 (C) 4 (D) 2​

Answer 1

Step-by-step explanation:

By the basic property of a determinant, that it is 0 if two of its rows are the same, we can deduce that determinant of a VanderMonde matrix will be 0 when any two of its rows are the same. But that means that, as a polynomial, it must have (xi - xj) as a factor, for every i and j.

Answer 2

the degree of the determinant is 3