(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let T: M_{22}-> M_{22}be defined by

T[itex]

\[ \left( \begin{array}{cc}

a & b \\

c & d \\

\end{array} \right)\]

[/itex]=

[itex]

\[ \left( \begin{array}{cc}

2c & a+c \\

b-2c & d \\

\end{array} \right)\]

[/itex]

Find the eigenvectors of T

3. The attempt at a solution

My main question is, Which matrix am I using to compute my eigenvectors?

Do I need to compute a basis first?

Where this problem differs from my other questions is that I am no longer producing a matrix from my basis vectors which I use to create[T]_{B}

Any insight would be great, thanks.

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# Eigenvalues of a linear transformation (Matrix)

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