MathDB

Problem 1

Part of 2010 CIIM

Problems(1)

CIIM 2010 Problem 1

Source:

6/9/2016
Given two vectors v=(v1,…,vn)v = (v_1,\dots,v_n) and w=(w1…,wn)w = (w_1\dots,w_n) in Rn\mathbb{R}^n, lets define v∗wv*w as the matrix in which the element of row ii and column jj is viwjv_iw_j. Supose that vv and ww are linearly independent. Find the rank of the matrix v∗w−w∗v.v*w - w*v.
CIIM 2010CIIMundergraduatevectorlinear algebramatrix