2.5.16 Give an example of a linear map $T: V o V$ with an eigenvalue $lambda$, such that $Eig_lambda(T) eq Eig_{lambda^2}(T^2)$. 2.5.17 Is it true that the set of all eigenvectors of a linear map $T in mathcal{L}(V)$
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Let's consider the following linear map T: T = \begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix} Now, let's find the eigenvalues of T. We need to solve the characteristic equation det(T - λI) = 0: det(\begin{pmatrix} 2 - λ & 0 \\ 0 & 3 - λ \end{pmatrix}) = (2 - λ)(3 Show more…
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