(a) Prove that the product A = vwT of a nonzero m × 1 column vector v by a nonzero 1 × n row vector wT is an m × n matrix of rank r = 1.
(b) Compute the following rank one products:
(i)

(ii)

(iii)

(c) Prove that every rank one matrix can be written in the form A = vwT.

Transcribed Image Text:

2 3 (3) 3 -1) 2 1 3-1