Matrix Multiplication and Rank of Matrix
I have one question on matrix multiplication.
Suppose there are 2 matrices -
A = 1 -1 0
0 2 -1
2 0 -1
B = 1
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? :)