### ELEMENTARY TRANSFORMATIONS TO FIND THE INVERSE OF A MATRIX

To find the inverse by elementary row transformations, we need to follow the following steps: (OR) To find the inverse of the matrix Let A = A = I A

### Trace of a Matrix

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(In) = […]