Question:

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

Updated On: Jan 31, 2026

\(\frac{3}{8}\)
\(\frac{1}{8}\)
\(\frac{1}{4}\)
\(\frac{1}{5}\)

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The Correct Option is A

Solution and Explanation

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

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