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Let A and B be two matrices such that A B=A and BA = B . Which of the following statements are correct? 1. A ^2= A 2. B ^2= B 3. ( AB )^2= 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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