imo class 12 matrices

If trace of a 3×3 matrix A is defined as the sum of its diagonal entries and A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]], then trace(A) equals:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If trace of a 3×3 matrix A is defined as the sum of its diagonal entries and A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]], then trace(A) equals:

  • A. 15
  • B. 18
  • C. 12
  • D. 10

Answer: A) 15

Explanation: Trace(A) = sum of diagonal elements a₁₁ + a₂₂ + a₃₃ = 1 + 5 + 9 = 15.

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