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Let P be a 3 3 matrix with real entries such that P^2=-P . Then

Options

  1. AP is a diagonal matrix.
  2. Bthe sum of the diagonal entries is 0 or -3 .
  3. Cif P⁻¹ exists then (P⁻¹ )^2=-P⁻¹ .
  4. Dif P⁻¹ does not exist then P^k=0 for some natural number k .

Correct answer

C. if P⁻¹ exists then (P⁻¹ )^2=-P⁻¹ .

Step-by-step solution

No solution available.

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