**Eigen Values and Characteristics roots ?**

To find Eigen values use, |** A – λI **|** = 0**

For characteristics roots, **(** **A – λI )X = 0**

When represents characteristics roots in matrix they called** Eigen vectors.**If A is an n × n matrix, then the

**sum of the n eigenvalues**of A is the

**trace**of A and the

**product of the n eigenvalues**is the

**determinant**of A.

Eigenvalues of a Matrix and its Transpose are same.