Question: sidebar interaction. Press tab to begin. Note that an n times n matrix has exactly n eigenvalues. However, some of them might be repeated, in

sidebar interaction. Press tab to begin. Note that an n \times n matrix has exactly n eigenvalues. However, some of them might be repeated, in which case their Algebraic Multiplicity is greater than 1. The sum of the algebraic multiplicities must equal to n. Suppose A is a 5 \times 5 matrix with only 2 distinct eigenvalues: \lambda_1 and \lambda_2. If \lambda_1 has AM =2, what is the algebraic multiplicity of \lambda_2

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