Consider the following statements in respect of the square matrices A and B of same order: 1. {\A} and {\B} are non-zero and {\AB}=0 \Rightarrow either | {\A}|=0 or | {\B}|=0 2. {\AB}=0 \Rightarrow {\A}=0 or {\B}=0 Which of the above statements is/are correct?

UPSC NDA II 2011 Mathematics Paper

Question : 90 of 120

Marks: +1, -0

Consider the following statements in respect of the square matrices A and B of same order:
1. A and B are non-zero and AB=0⇒ either |A|=0 or |B|=0
2. AB=0⇒A=0 or B=0
Which of the above statements is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Validate

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