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Trace of Matrix

The sum of the elements of a square matrix A lying along the principal diagonal is called the trace of A, i.e., tr(A)
Thus if A = [aij]n × n , then
tr(A) = 63323.png

Properties of trace of a matrix

Let A = [aij]n × n and B = [bij]n × n and λ be a scalar, then
  • tr(λA) = λtr(A)
  • tr(A + B) = tr(A) + tr(B)
  • tr(AB) = tr(BA)

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