If the matrix `A B` is zero, then It is not necessary that either `A=O` or, `B=O` (b) `A=O` or `B=O` (c) `A=O` and `B=0` (d) all the above statements are wrong

Options

A. It is not necessary that either A=O or B=O
B. A=O or B=O
C. A=O and B=O
D. all the above statements are wrong

Answer

A

Explanation

If `{:A=[(1,0),(0,0)],B=[(0,0),(0,1)],"then " AB=[(0,0),(0,0)]:}`
However, `A ne O, B ne O`.
So, option (a) is correct.