Evaluate the determinant:- contexto.140 2 years ago Solution:- Expanding the above determinant along , we have Hence .
![\[\left|\begin{array}{ccc} 3 & -1 & -2 \\ 0 & 0 & -1 \\ 3 & -5 & 0 \end{array}\right|\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-aba98c09c22fb4263314ff2ab27b53fd_l3.png "Rendered by QuickLaTeX.com")
![\[\begin{array}{l} =3(0-5)-0+3(1-0) \\ =-15+3 \\ =-12 \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-b492732ea9f1aa66daf3acd38d49e47c_l3.png "Rendered by QuickLaTeX.com")
![\[\left|\begin{array}{ccc} 3 & -1 & -2 \\ 0 & 0 & -1 \\ 3 & -5 & 0 \end{array}\right|\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-fd6198056c1c205e13a9acd06361a8e9_l3.png "Rendered by QuickLaTeX.com")
