If the characteristic polynomial of a 3 × 3 matrix M over R (the set of real numbers) is λ 3 – 4λ 2 + aλ + 30, a ∈ R, and one eigenvalue of M is 2, then the largest among the absolute value of the eigenvalues of M is __________.

GATE Computer Science (CS) 2017 Shift 2 Solved Paper

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If the characteristic polynomial of a 3 × 3 matrix M over R (the set of real numbers) is λ³ – 4λ² + aλ + 30, a ∈ R, and one eigenvalue of M is 2, then the largest among the absolute value of the eigenvalues of M is __________.

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