- #1
zak100
- 462
- 11
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 can't 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.