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If A , B and C are square matrices of same order and Ι is an identity matrix of the same order, such that C 2 = C B + A C and A B = Ι , then C - A - 1 is equal to

Options

  1. AC - A
  2. BC - B
  3. CB - C
  4. DB + Ι

Correct answer

B. C - B

Step-by-step solution

Given, ⇒ C C - B = A C - B + A B ⇒ C - A C - B = A B = Ι Hence, C - A - 1 = C - B

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