Generalized Eigenvectors and Jordan Form

Minimal polynomials, the Cayley-Hamilton theorem, generalized eigenvectors, Jordan normal form, and the matrix exponential.0/10 mastered

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For

A=\begin{pmatrix}3&1\\0&3\end{pmatrix}

, the vector

e_2=(0,1)

satisfies

(A-3I)e_2=e_1\neq0

and

(A-3I)^2e_2=0

. What is its height?

Your answer

#5762