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## Homework Statement

I am trying to solve a Eigen vector matrix:

##\begin{bmatrix}9.2196& 6.488\\4.233& 2.9787\end{bmatrix}\cdot\begin{bmatrix}x\\y\end{bmatrix}-\lambda\begin{bmatrix}x\\y \end{bmatrix}=0##

I have found ##\lambda_1 = 0## and ##\lambda_2 = 12.1983##

However, I cant solve the following equations:

##9.2196x + 6.488y =0 -------(eq.1)##

and ##4.233x + 2.978y =0 ----(eq.2)##

I am multiplying ##(eq.1) ## by ##4.233x## and ##(eq.2)## by ##9.2196##

Some body please guide me how to solve these equations for ##x## and ##y## values.

Zulfi.

## Homework Equations

##9.2196x + 6.488y =0 -------(eq.1)##

and ##4.233x + 2.978y =0 ----(eq.2)##

and ##4.233x + 2.978y =0 ----(eq.2)##

## The Attempt at a Solution

I am multiplying ##(eq.1)## by ##4.233## and ##(eq.2)## by ##9.2196## but both the equations are vanishing. Some body please guide me.

Zulfi.