Question

define unit matrix trace of matrix with example​

Answer 1

Answer:

Trace of a matrix is defined only for a square matrix .

It is the sum of the elements on the main diagonal, from the upper left to the lower right, of the matrix. For example in the matrix A. A=⎛⎜ ⎜ ⎜ ⎜ ⎜ ⎜⎝362−30−251070−4−28671−49083754⎞⎟

Answer 2

Trace of matrix - definition

It is sum of its diagonal elements from the upper left to lower right, of matrix. The Trace of a Matrix is useful to prove the results in Linear Algebra. Example of trace of an square matrix:

• ⎣⎢⎢⎡adgbehcfi⎦⎥⎥⎤Now trace = sum of its (complex) eigenvaluesTrace is given by a+e+i.