If A and B are two matrices such that AB = O (zero matrix), then:
If A and B are two matrices such that AB = O (zero matrix), then:
- A. It is necessary that A = O or B = O
- B. It is not necessary that either A = O or B = O
- C. Both A and B must be zero matrices
- D. A must be an identity matrix
Answer: B) It is not necessary that either A = O or B = O
Explanation: The product of two non-zero matrices can be a zero matrix. Therefore, AB = O does not imply that A = O or B = O.
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