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Find the eigenvalues and the eigenvectors of these two matrices:

A =

\begin{bmatrix}1&4\\2&3\end{bmatrix}

and A+I =

\begin{bmatrix}2&4\\2&4\end{bmatrix}

A+I has the eigenvectors _____ as A. Its eigenvalues are ______ by 1. I have computed the eigen values please help me in determining a relation between them. Is there any formula or theorem I’m missing out on?

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@kirtipurohit

https://gateoverflow.in/2013/gate-cse-2014-set-2-question-47