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If A and B are square matrices such that A 2020 = O and A B = A + B, then B is equal to (where, O is a null matrix)

Options

  1. A0
  2. B1
  3. C- 1
  4. D4

Correct answer

A. 0

Step-by-step solution

A 2020 = O ⇒ A = 0 ⇒ B = A B - I Taking determinant on both sides, we get, B = A B - I ⇒ B = 0 (as A = 0 )

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