Q65 / 155 · WBJEE 2019 · Mathematics
Let $A$ and $B$ be two square matrices of order 3 and $A B=O_{3}$, where $O_{3}$ denotes the null matrix of order 3. Then,
- Amust be $A=O_{3}, B=O_{3}$
- Bif $A \neq O_{3}$, must be $B \neq O$,
- Cif $A=O_{3}$. must be $B \neq O_{3}$
- Correct answerDmay be $A \neq O_{3} . B \neq O_{3}$
Solution
Since, product of two non-null matrix can be a null matrix.
Therefore, may be
$$
A \neq O_{3}, B \neq O_{3}
$$
Hence, the correct answer is option: 'D'.