Question

what is the degree of 2*2
determinant​

Answer 1

Answer:

ᴍᴀʀᴋ ᴍᴇ ᴀs ʙʀᴀɪɴʟɪsᴛ ♡

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.

This means that such a determinant must have as a factor, with the product here taken over all pairs of variables with i > j.

This factor is already a polynomial of degree