GATE | CS | 2017 | Set 2 | Engineering Mathematics | Linear Algebra | Question 52

If the characteristic polynomial of a 3 × 3 matrix M over R (the set of real numbers) is λ³ - 4λ² + aλ + 30, where a ∈ R, and one eigen value of M is 2, then the largest among the absolute values of the eigenvalues of M is _______

Note: This question appeared as Numerical Answer Type.