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A=[itex]\begin{array}{cc}

1 & 6 \\

4 & 3 \\

\end{array}[/itex]

[itex]λ_{1}[/itex]=7

[itex]λ_{2}[/itex]=-3

A=[itex]\begin{array}{cc}

1-7 & 6 \\

4 & 3-7 \\

\end{array}[/itex]

A=[itex]\begin{array}{cc}

-6 & 6 \\

4 & -4 \\

\end{array}[/itex]

Why is [itex]A_{11}[/itex] and [itex]A_{12}[/itex]

always a multiple of

[itex]A_{21}[/itex] and [itex]A_{22}[/itex]?

Is this a feature of Eigenvalues or is this done on purpose to make solving the eigenvectors easier?

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# Why is this always the case A=[itex]\begin{array}{cc}1 & 6

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