Answer:
[tex]\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-5[/tex]
Step-by-step explanation:
Given:
The given matrix is.
[tex]\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right][/tex]
the determinant of the above matrix is.
[tex]\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=2\times (-4) - (-3)\times 1[/tex]
[tex]\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 - (-3)[/tex]
[tex]\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 +3[/tex]
[tex]\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-5[/tex]
Therefore, the determinant of the matrix is -5
