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If A and B are two non-singular square matrices such that AB = A , then which one of the following is correct

Options

  1. AB is an identity matrix
  2. BB = A ⁻¹
  3. CB = A ^2
  4. DDeterminant of B is zero

Correct answer

A. B is an identity matrix

Step-by-step solution

A and B are 2 non singular matrix so A ⁻¹ and B ⁻¹ are defined A ⁻¹ AB = A ⁻¹ ~A ~B = I

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