Given:
[tex]\begin{bmatrix}{-3} & {-4} \\ {6} & {5}\end{bmatrix}[/tex]
Find-:
Find the determinant
Explanation-:
The formula of determinant is:
[tex]\begin{bmatrix}{a} & {b} \\ {c} & {d}\end{bmatrix}[/tex]
Determinant is:
[tex]=(a\times d)-(c\times b)[/tex]
So the determinant of given :
[tex]\begin{gathered} =\begin{bmatrix}{-3} & {-4} \\ {6} & {5}\end{bmatrix} \\ \\ =(-3)(5)-(-4)(6) \\ \\ =-15-(-24) \\ \\ =-15+24 \\ \\ =9 \end{gathered}[/tex]
So the answer is:
[tex](-3)(5)-(-4)(6)=9[/tex]
