Find the values of the variables for which the statement is true, if possible.
-$$\left[ \begin{array} { r r }
6 & - 2 \
x & 0
\end{array} \right] = \left[ \begin{array} { c c }
\mathrm { m } - 4 & \mathrm { n } + 4 \
8 & 0
\end{array} \right]$$
A) $\mathrm { m } = - 6 ; \mathrm { n } = 10 ; \mathrm { x } = 0$
B) $\mathrm { m } = 10 ; \mathrm { n } = - 6 ; \mathrm { x } = 8$
C) $\mathrm { m } = 6 ; \mathrm { n } = - 2 ; \mathrm { x } = 8$
D) $\mathrm { m } = - 10 ; \mathrm { n } = + 6 ; \mathrm { x } = - 8$

Question

Find the values of the variables for which the statement is true, if possible.
-$$\left[ \begin{array} { r r } 
6 & - 2 \
x & 0
\end{array} \right] = \left[ \begin{array} { c c } 
\mathrm { m } - 4 & \mathrm { n } + 4 \
8 & 0
\end{array} \right]$$
A) $\mathrm { m } = - 6 ; \mathrm { n } = 10 ; \mathrm { x } = 0$
B) $\mathrm { m } = 10 ; \mathrm { n } = - 6 ; \mathrm { x } = 8$
C) $\mathrm { m } = 6 ; \mathrm { n } = - 2 ; \mathrm { x } = 8$
D) $\mathrm { m } = - 10 ; \mathrm { n } = + 6 ; \mathrm { x } = - 8$

Quizplus · Accepted Answer

The matrices are equal when corresponding elements are equal: $m - 4 = 6$, $n + 4 = -2$, and $x = 8$. Solving these gives $m = 10$, $n = -6$, and $x = 8$.

Find the Values of the Variables for Which the Statement