imo class 12 matrices

If A and B are square matrices of the same order, then Trace(A + B) is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A and B are square matrices of the same order, then Trace(A + B) is equal to:

  • A. Trace(A) × Trace(B)
  • B. Trace(A) + Trace(B)
  • C. Trace(AB)
  • D. Trace(A) − Trace(B)

Answer: B) Trace(A) + Trace(B)

Explanation: The trace operator is linear. The sum of the diagonal elements of A + B is simply the sum of the diagonals of A plus the sum of the diagonals of B.

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