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Engineering Mathematics Question on Eigenvalues

The matrix [1a\83]\begin{bmatrix} 1&a\\\8&3 \end{bmatrix}(where a > 0) has a negative eigenvalue if a is greater than

A

38\frac{3}{8}

B

18\frac{1}{8}

C

14\frac{1}{4}

D

15\frac{1}{5}

Answer

38\frac{3}{8}

Explanation

Solution

The correct option is (A): 38\frac{3}{8}