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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Matrices

NDA 2014 · Mathematics · Matrices

Let A and B be two matrices such that A B=A and BA=B . Which of the...

Let AA and BB be two matrices such that AB=AA B=A and BA=B\mathrm{BA}=\mathrm{B}. Which of the following statements are correct? 1. A2=A\mathrm{A}^2=\mathrm{A} 2. B2=B\mathrm{B}^2=\mathrm{B} 3. (AB)2=AB(\mathrm{AB})^2=\mathrm{AB} Select the correct answer using the code given below:

Options

  1. A1 and 2 only
  2. B2 and 3 only
  3. C1 and 3 only
  4. D1,2 and 3

Correct answer

D. 1,2 and 3

Step-by-step solution

The correct answer is option (D)
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