Let A be a 4 × 4 matrix with eigenvalues -5, -2, 1, and 4. Which of the…

GATE · 2007 · CS

Let A be a 4 × 4 matrix with eigenvalues -5, -2, 1, and 4. Which of the following is an eigenvalue of the block matrix

[A  I]
[I  A]

where I is the 4 × 4 identity matrix?

  1. A.

    -5

  2. B.

    -7

  3. C.

    2

  4. D.

    1

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