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Consider a matrix \( A = \begin{pmatrix} -5 & a \\ -2 & -2 \end{pmatrix} \), where \( a \) is a constant. If the eigenvalues of \( A \) are \(-1\) and \(-6\), then the value of \( a \), rounded off to the nearest integer, is ___
Consider a matrix \( A = \begin{pmatrix} -5 & a \\ -2 & -2 \end{pmatrix} \), where \( a \) is a constant. If the eigenvalues of \( A \) are \(-1\) and \(-6\), then the value of \( a \), rounded off to the nearest integer, is ___
Updated On: Jul 17, 2024
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Correct Answer: -2
Solution and Explanation
The correct Answers is :-2 or 2 Approx
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