imo class 12 matrices

The trace of a square matrix A is defined as the:

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The trace of a square matrix A is defined as the:

  • A. Product of its diagonal elements
  • B. Sum of all its elements
  • C. Sum of its principal diagonal elements
  • D. Product of non-zero elements

Answer: C) Sum of its principal diagonal elements

Explanation: The trace of an n × n matrix is the sum of its main diagonal elements: a(1,1) + a(2,2) + ... + a(n,n).

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