**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.