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Let P be a non-zero 3 3 matrix with real entries. Let m and n be distinct natural numbers such that P^m=P^n . Then

Options

  1. AP is equal to the identity matrix.
  2. Bthere exists a non-zero 3 1 matrix X such that P X=X .
  3. CP^k is the zero matrix for some k N .
  4. Dif P X= X for some non-zero 3 1 matrix X and R , then the possible values of | | are 0 and 1.

Correct answer

D. if P X= X for some non-zero 3 1 matrix X and R , then the possible values of | | are 0 and 1.

Step-by-step solution

No solution available.

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