Mathematics - Determinant Question with Solution | TestHub

For getting infinite solutions $\mathrm{D}=0,{\mathrm{D}}_1=$ ${\mathrm{D}}_2=\mathrm{D}=0$ then check all the three equations Let $\Delta =\left|\begin{array}{ccc}2& 1& -1\\ 1& -3& 2\\ 1& 4& \delta \end{array}\right|=0\Rightarrow \delta =-3$ And ${\Delta }_1=\left|\begin{array}{ccc}7& 1& -1\\ 1& -3& 2\\ k& 4& -3\end{array}\right|=0\Rightarrow k=6$ $\Rightarrow \delta +k=3$