Question:
The three eigenvalues of the matrix \[ \begin{pmatrix} -2 & X & -3 \\ 2 & 1 & -6 \\ -1 & -2 & y \end{pmatrix} \] are \(\lambda_1 = 5\) and \(\lambda_2 = \lambda_3 = -3\). The value of \(X\) is _______.
The three eigenvalues of the matrix \[ \begin{pmatrix} -2 & X & -3 \\ 2 & 1 & -6 \\ -1 & -2 & y \end{pmatrix} \] are \(\lambda_1 = 5\) and \(\lambda_2 = \lambda_3 = -3\). The value of \(X\) is _______.
Updated On: Jul 20, 2024
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The Correct Option is C
Solution and Explanation
The correct option is (C):2
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