imo class 12 matrices

If A is a 2×2 matrix with trace(A) = 6 and det(A) = 8, then the sum of the eigenvalues of A is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A is a 2×2 matrix with trace(A) = 6 and det(A) = 8, then the sum of the eigenvalues of A is:

  • A. 6
  • B. 8
  • C. 2
  • D. 14

Answer: A) 6

Explanation: For any square matrix, the trace equals the sum of eigenvalues. So sum of eigenvalues = trace(A) = 6.

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