- #1

cooltowns

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## Homework Statement

Finding Eigenvectors of the given matrix

## Homework Equations

The matrix is

[itex]A=\begin{pmatrix}

5.956 & -1.284\\

-1.284&0.435

\end{pmatrix}[/itex]

## The Attempt at a Solution

I have found the eigenvalues to be

[itex]\lambda _{1}=0.624001[/itex] and [itex]\lambda _{2}=0.150994[/itex]

and

[itex]A-\lambda_{1} I =\begin{pmatrix}

-0.2840 &-1.284 \\

-1.284 &-5.8050

\end{pmatrix}[/itex]

[itex]A-\lambda_{2} I =\begin{pmatrix}

5.8050 &-1.284 \\

-1.284 &0.2840

\end{pmatrix}[/itex]

where A is the given matrix, I have rounded up the values slightly.

Using wolfram online I know the eigenvectors I should get are

[itex]E_{1}(-0.9764,0.2161)[/itex] and [itex]E_{2}(-0.2161, 0.9764)[/itex]

However I can't seem to get them.

Could somone please show me how to get those eigenvectors

Thanks