Question

Find the determinant of [-3/6 -4/5]. Select the correct calculation.

Answer 1

Given:

`\begin{bmatrix}{-3} & {-4} \\ {6} & {5}\end{bmatrix}`

Find-:

Find the determinant

Explanation-:

The formula of determinant is:

`\begin{bmatrix}{a} & {b} \\ {c} & {d}\end{bmatrix}`

Determinant is:

`=(a* d)-(c* b)`

So the determinant of given :

`\begin{gathered} =\begin{bmatrix}{-3} & {-4} \\ {6} & {5}\end{bmatrix} \\ \\ =(-3)(5)-(-4)(6) \\ \\ =-15-(-24) \\ \\ =-15+24 \\ \\ =9 \end{gathered}`

So the answer is:

`(-3)(5)-(-4)(6)=9`