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NEST2021MathematicsDeterminants

For a square matrix X , let det (X) be the determinant of X and let X^T be the transpose of the matrix X . If P and Q are two 3 3 invertible real matrices, then the correct statement/statements is/are

Options

  1. Adet ( adj (P))=[ det (P)]^2 , where adj (P) is the adjoint of P
  2. Bdet (c P)=c det (P) , where c is a real number
  3. Cdet (Q P (Q^T )⁻¹ )= det (P)
  4. Ddet (P+Q)= det (P^T )+ det (Q)

Correct answer

C. det (Q P (Q^T )⁻¹ )= det (P)

Step-by-step solution

No solution available.

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