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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Matrices

NDA 2010 · Mathematics · Matrices

Let A and B be matrices of order 3 × 3 . If A B=0 , then which of...

Let AA and BB be matrices of order 3×33 \times 3. If AB=0A B=0, then which of the following can be concluded?

Options

  1. AA=0A=0 and B=0B=0
  2. B∣A∣=0|A|=0 and ∣B∣=0|B|=0
  3. CEither ∣A∣=0|A|=0 or ∣B∣=0|B|=0
  4. DEither A=0A=0 or B=0B=0

Correct answer

D. Either A=0A=0 or B=0B=0

Step-by-step solution

The correct answer is option (D).
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