Question

Find the determinant of the following matrix.

Answer 1

Answer:

$\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-5$

Step-by-step explanation:

Given:

The given matrix is.

$\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]$

the determinant of the above matrix is.

$\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=2\times (-4) - (-3)\times 1$

$\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 - (-3)$

$\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 +3$

$\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-5$

Therefore, the determinant of the matrix is -5