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

Question No. 103

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

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