Find the values of the variables for which the statement is true, if possible.
-$$\left[ \begin{array} { l l }
0 & 0 \
a & b
\end{array} \right] = \left[ \begin{array} { r r }
0 & q \
4 & - 2
\end{array} \right]$$
A) $\mathrm { a } = 0 ; \mathrm { b } = 0 ; \mathrm { q } = 0$
B) $\mathrm { a } = - 2 ; \mathrm { b } = 4 ; \mathrm { q } = 0$
C) $a = - 4 ; b = 2 ; q = 0$
D) $a = 4 ; b = - 2 ; q = 0$

Question

Find the values of the variables for which the statement is true, if possible.
-$$\left[ \begin{array} { l l } 
0 & 0 \
a & b
\end{array} \right] = \left[ \begin{array} { r r } 
0 & q \
4 & - 2
\end{array} \right]$$
A) $\mathrm { a } = 0 ; \mathrm { b } = 0 ; \mathrm { q } = 0$
B) $\mathrm { a } = - 2 ; \mathrm { b } = 4 ; \mathrm { q } = 0$
C) $a = - 4 ; b = 2 ; q = 0$
D) $a = 4 ; b = - 2 ; q = 0$

Quizplus · Accepted Answer

For two matrices to be equal, their corresponding elements must be equal. Comparing the given matrices, $a = 4$, $b = -2$, and $q = 0$.

Find the Values of the Variables for Which the Statement [00ab]=[0q4−2]\left[ \begin{array} { l l } 0 & 0 \\a & b\end{array} \right] = \left[ \begin{array} { r r } 0 & q \\4 & - 2\end{array} \right][0a​0b​]=[04​q−2​]

Find the Values of the Variables for Which the Statement $\left[ \begin{array} { l l } 0 & 0 \\a & b\end{array} \right] = \left[ \begin{array} { r r } 0 & q \\4 & - 2\end{array} \right]$