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Consider the matrix A = 3 1 - 6 - 2 , then Ι + A 40 is equal to

Options

  1. AΙ + 2 38 A
  2. BΙ + 2 39 A
  3. CΙ + 2 40 + 1 A
  4. DΙ + 2 40 - 1 A

Correct answer

D. Ι + 2 40 - 1 A

Step-by-step solution

A 2 = 3 1 - 6 - 2 3 1 - 6 - 2 = 3 1 - 6 - 2 = A A 3 = A 4 = A 5 . . . . . . . . . = A 40 = A Ι + A 40 = Ι + 40 C 1 A + 40 C 2 A 2 . . . . . . . + 40 C 40 A 40 = Ι + A 40 C 1 + 40 C 2 . . . . . . . 40 C 40 = Ι + A 2 40 - 1

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