Ononot — For an n \times n matrix A with eigenvalue \lambda0, the geo

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Eigenvalues & Eigenvectorsmedium

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For an $n \times n$ matrix $A$ with eigenvalue $\lambda_0$ , the geometric multiplicity $m_g(\lambda_0)$ equals the dimension of the eigenspace $\text{null}(A - \lambda_0 I)$ . Which statement correctly relates geometric multiplicity to rank and nullity?