GATE EE 2015 Set 1 — Question 36

MCQ+2 / -0.67HardEigenvalues & EigenvectorsLinear AlgebraEngineering Mathematics

Engineering Mathematics → Linear Algebra → Eigenvalues & Eigenvectors

Last updated 5 September 2026

Question

a

\begin{vmatrix} -3-\lambda & 0 & -2 \\ 1 & -1-\lambda & 0 \\ 0 & a & -2-\lambda \end{vmatrix} = -(3+\lambda)(1+\lambda)(2+\lambda) - 2a = 0

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\begin{vmatrix} -3-\lambda & 0 & -2 \\ 1 & -1-\lambda & 0 \\ 0 & a & -2-\lambda \end{vmatrix} = -(3+\lambda)(1+\lambda)(2+\lambda) - 2a = 0

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