GATE Papers >> Mechanical >> 2017 >> Question No 103

Question No. 103 Mechanical | GATE 2017

The determinant of a 2x2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is_________


Answer : 5 to 5


Solution of Question No 103 of GATE 2017 Mechanical Paper

Product of Eigen values = determinant of matrix

$ \begin{array}{l}{\mathrm\lambda}_1\times{\mathrm\lambda}_2=50\\10\times{\mathrm\lambda}_2=50\\{\mathrm\lambda}_2=5\end{array} $

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