MathDB

Given two vectors

v = (v_1,\dots,v_n)

and

w = (w_1\dots,w_n)

\mathbb{R}^n

, lets define

v*w

as the matrix in which the element of row

i

and column

j

v_iw_j

. Supose that

v

and

w

are linearly independent. Find the rank of the matrix

v*w - w*v.

Problem Statement