Mathematics - Determinant Question with Solution | TestHub

For infinitely many solutions, all determinants should be zero.

$\mathrm{D}=\left|\begin{array}{ccc}1& 1& 1\\ 2& 4& -1\\ 3& 2& \mathrm{\lambda }\end{array}\right|=0\Rightarrow \mathrm{\lambda }=\frac{9}{2}$

${\mathrm{D}}_3=\left|\begin{array}{lll}1& 1& 2\\ 2& 4& 6\\ 3& 2& \mathrm{\mu }\end{array}\right|=0\Rightarrow \mathrm{\mu }=5$

Now check each option