Question

Find the determinant of the following matrix.

Answer 1

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

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* (-4) - (-3)* 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