The sum of diagonal elements of a square matrix A is called the trace of a matrix A, which is denoted by tr A.

** Properties of trace of a matrix** :

(i) tr(λA) = λ tr(A)

(ii) tr(A – B) = tr(A) – tr(B)

(iii) tr(AB) = tr(BA)

(iv) tr(A) = tr(A’)

(v) tr(I_{n}) = n

(vi) tr(0) = 0

tr(AB) ≠ tr(A).tr(B)

Posted on
## Leave a Reply