1 Answer

Elsayed · Answer 1 · 2020-01-09T16:58:47+0000

Answer:

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

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

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