THE GATEBOOK

Normalization Lectures

Let be a matrix for which there is a constant k such that the sum of entries in each row and each column is k. Which of the following must be an eigenvector of A

If K be the sum of each row and column then we get as a eigen vector with respect to eigen value k.

For example, let

Here, sum of each row & column is 6 ,one of the eigen values of matric A is 6

since the characteristic equation of A is

option C