What are the eigenvalues of the matrix P given below [Tex] \begin{pmatrix} a &…

GATE · 2006 · IT

What are the eigenvalues of the matrix P given below


[Tex] \begin{pmatrix} a & 1 & 0 \\ 1 & a & 1 \\ 0 & 1 &a \end{pmatrix} [/Tex]
  1. A.

    a, a - √2, a + √2

  2. B.

    a, a, a

  3. C.

    0, a, 2a

  4. D.

    -a, 2a, 2a

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