Ononot — The matrix A = \begin{pmatrix} 1 & 1 \\ 0 & 2 \end{pmatrix}

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Eigenvalues & Eigenvectorshard

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The matrix $A = \begin{pmatrix} 1 & 1 \\ 0 & 2 \end{pmatrix}$ has characteristic polynomial $\chi(\lambda) = (1-\lambda)(2-\lambda)$ . What is the algebraic multiplicity of each eigenvalue, and is $A$ diagonalizable?