Question: QUESTION 1 (a) Explain why the eigenvalues of A are real numbers, that is the imaginary parts are zeros. A = | 0 -1 -2

QUESTION 1

(a) Explain why the eigenvalues of A are real numbers, that is the imaginary parts are zeros.

A = | 0 -1 -2 |

| -1 -1 -1 |

| -2 -1 0 |

(b) Find an orthogonal matrix associated with matrix:

A = | 1 2 |

| 2 4 |

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