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A is a square matrix and Ι is an identity matrix of the same order. If A 3 =O, then inverse of matrix Ι - A is

Options

  1. AΙ + A
  2. BΙ - A + A 2
  3. CA + A 2
  4. DΙ + A + A 2

Correct answer

D. Ι + A + A 2

Step-by-step solution

We know, I - A Ι + A + A 2 = Ι - A 3 = Ι Hence, Ι - A - 1 = Ι + A + A 2

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