Ononot — Let A = \begin{pmatrix} 0 & 1 \\ 0 & 0 \end{pmatrix}. The ch

Eigenvalues & Eigenvectorshard

0:00.0

Let $A = \begin{pmatrix} 0 & 1 \\ 0 & 0 \end{pmatrix}$ . The characteristic polynomial is $\chi(\lambda) = \lambda^2$ , so by the Cayley-Hamilton theorem, $A^2 = 0$ . What is $A^{50}$ ?