Answer: Its own characteristic polynomial.
- A Its own characteristic polynomial
- B Its minimal polynomial only
- C A<sup>n</sup> = I
- D det(A) = trace(A)
Correct answer: A. Its own characteristic polynomial
Explanation: Cayley-Hamilton: every n x n matrix A satisfies p(A) = 0, where p(lambda) = det(lambda*I - A) is its characteristic polynomial.
Concept context
Evaluation of determinants, cofactors, adjoint, inverse of matrix, Cramer's rule and area applications. Always in board and JEE.