Let A be a square matrix then there exists a scalar $\lambda$ and a non zero vector V such that AV = $\lambda$V. Then the characteristic matrix is
|A - $\lambda$ I| V = 0
Here V is the eigen vector.
Eigen Vector Calculator is a online tool to calculate the eigen vector.You just have to enter the matrix (either 2X2 or 3X3) in the block provided and get the eigen vector instantly.

## Eigen Vector Steps

Lets see how to solve Eigen vector for a given matrix:
Step 1: Read the problem and take down the matrix A
Step 2: The characteristic matrix is |A - $\lambda$ I| = 0. Solve the equation and get the eigen value  $\lambda_1$, $\lambda_2$, ....... $\lambda_n$ for order n $\times$ n.
Step 3: Substitute the eigen values in the characteristic equation to get the eigen vector.