View Single Post
rajtendulkar
rajtendulkar is offline
#1
Aug2-11, 11:00 AM
P: 2
Dear Forum,

I have one question on matrix multiplication.

Suppose there are 2 matrices -

A = 1 -1 0
0 2 -1
2 0 -1

B = 1
1
2

and AB = 0 (Zero Matrix)
if B not a zero-matrix, then rank(A) is less than s, where s is the dimension of B.

I wanted to have a proof and explanation for this.
Any book / link? :)

Thank You,
Raj
Phys.Org News Partner Mathematics news on Phys.org
Researchers help Boston Marathon organizers plan for 2014 race
'Math detective' analyzes odds for suspicious lottery wins
Pseudo-mathematics and financial charlatanism