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

The linear operator T on R2 has the matrix

[tex]

\begin{bmatrix}4&-5\\-4&-3 \end{bmatrix}

[/tex] relative to the basis {(1,2), (0,1)}

Find the eigenvalues of T, and obtain an eigenvector corresponding to each eigenvalue.

2. Relevant equations

3. The attempt at a solution

So I solved the eigenvalues to be [tex]

\lambda = 8, \lambda = -1

[/tex]

I know I normally just sub in the lambda to the matrix and then solve for the null space to get the eigenvector, but how do I do it with a different basis?

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# Homework Help: Linear Algebra - Eigenvector question

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