- #1

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## Homework Statement

[tex]

\frac{d\vec{Y}}{dt}

=

\begin{bmatrix}

2 & 4 \\

3 & 6

\end{bmatrix}

\vec{Y}[/tex]

Find the eigenvalues and eigenvectors

## Homework Equations

## The Attempt at a Solution

I found the eigenvectors to be

[tex]

\vec{v_1} =

\begin{bmatrix}

2 \\

1

\end{bmatrix}

,

\vec{v_2} =

\begin{bmatrix}

2 \\

-3

\end{bmatrix}

[/tex]

I found a widget on Wolfram Alpha that says the second eigenvector should be:

[tex]

\begin{bmatrix}

2 \\

3

\end{bmatrix}

[/tex]

I am more inclined to believe wolfram alpha is correct, but can someone show me why?