Question

Looking to receive full help on this practice question, thank you.

Answer 1

-42

Explanation

the determinant of a 2 X 2 matrix is given by:

$\begin{bmatrix}{a} & {b} \\ {c} & {d}\end{bmatrix}=ad-bc$

so, the determinant of the matrix

$\begin{bmatrix}{-6} & {0} \\ {4} & {7}\end{bmatrix}$

would be

$\begin{gathered} \begin{bmatrix}{-6} & {0} \\ {4} & {7}\end{bmatrix}=\left(-6*7\right)-\left(4*0\right)=-42-0=-42 \\ so \\ det\left(\right?\begin{bmatrix}{-6} & {0} \\ {4} & {7}\end{bmatrix}=-42 \\ \end{gathered}$

therefore, the answer is

-42

I hope this helps you