If A and B are 3 x 3 matrices such that AB = B and BA = A, then :

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

If A and B are 3 x 3 matrices such that  AB = B  and  BA = A,  then :
  1. A2 = A and B2 ≠ B
  2. A2 ≠ A and B2 = B
  3. A2 = A and B2 = B
  4. A2 ≠ A and B2 ≠ B

Answer

(C) A 2 = A and B 2 = B

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