Ononot — Let A = \begin{pmatrix} 2 & 1 \\ 0 & 2 \end{pmatrix}. Consid

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Eigenvalues & Eigenvectorshard

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Let $A = \begin{pmatrix} 2 & 1 \\ 0 & 2 \end{pmatrix}$ . Consider the $4 \times 4$ block diagonal matrix $M = \begin{pmatrix} A & 0 \\ 0 & A \end{pmatrix}$ . What is the geometric multiplicity of the eigenvalue $\lambda = 2$ of $M$ ?