WBJEE · Maths · Matrices
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,
- A must be \(A=O_{3}, B=O_{3}\)
- B if \(A \neq O_{3}\), must be \(B \neq O\),
- C if \(A=O_{3}\). must be \(B \neq O_{3}\)
- D may be \(A \neq O_{3} . B \neq O_{3}\)
Answer & Solution
Correct Answer
(D) may be \(A \neq O_{3} . B \neq O_{3}\)
Step-by-step Solution
Detailed explanation
Since, product of two non-null matrix can be a null matrix. Therefore, may be \[ A \neq O_{3}, B \neq O_{3} \]
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