Find the eigenvalues of the following 3 × 3 matrix given that 2 is one of the eigen values. Compute the… · ABC26PH0779

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

Find the eigenvalues of the following $3 \times 3$ matrix given that 2 is one of the eigen values. Compute the determinant of matrix using the eigen values.
$\begin{pmatrix} 1 & 1 & 1 \\ 1 & 0 & -2 \\ 1 & -1 & 1 \end{pmatrix}$
IIT JAM 2009
Answer
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