Ononot — For a 6 \times 6 matrix A, the eigenvalue \lambda = 2 has al

Eigenvalues & Eigenvectorsmedium

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For a $6 \times 6$ matrix $A$ , the eigenvalue $\lambda = 2$ has algebraic multiplicity $3$ . If $\text{rank}(A - 2I) = 4$ , what is the geometric multiplicity of $\lambda = 2$ ?