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Engineering Mathematics Question on Eigenvalues

What are the eigenvalues of the matrix [211\[0.3em]141\[0.3em]122]\begin{bmatrix} 2 & 1 & 1 \\\[0.3em] 1 & 4 & 1 \\\[0.3em] 1 & 2 & 2 \end{bmatrix}?

A

1, 2, 5

B

1, 3, 4

C

-5, 1, 2

D

-5, -1, 2

Answer

1, 2, 5

Explanation

Solution

The correct option is (A): 1, 2, 5.