engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Linear Algebra Eigenvalues
The value of x for which all the Eigen–values of the matrix given below are real is
\(\left[ {\begin{array}{*{20}{c}} {10}&{5 + {\rm{j}}}&4\\ {\rm{x}}&{20}&2\\ 4&2&{ - 10} \end{array}} \right]\)1
\(5{\rm{\;}} + {\rm{\;j}}\)
2
\(5{\rm{\;}}-{\rm{\;j}}\)
3
\(1{\rm{\;}}-{\rm{\;}}5{\rm{j}}\)
4
\(1 + {\rm{\;}}5{\rm{\;j}}\)