Determine the value of each variable.
-$$\left[ \begin{array} { r r }
5 & - 1 \
9 & 3
\end{array} \right] = \left[ \begin{array} { r r }
x & - 1 \
y & z
\end{array} \right]$$
A) $x = - 5 ; y = 3 ; z = 9$
B) $x = 9 ; y = 3 ; z = 5$
C) $x = - 5 ; y = - 9 ; z = - 3$
D) $x = 5 ; y = 9 ; z = 3$

Question

Determine the value of each variable.
-$$\left[ \begin{array} { r r } 
5 & - 1 \
9 & 3
\end{array} \right] = \left[ \begin{array} { r r } 
x & - 1 \
y & z
\end{array} \right]$$
A) $x = - 5 ; y = 3 ; z = 9$
B) $x = 9 ; y = 3 ; z = 5$
C) $x = - 5 ; y = - 9 ; z = - 3$
D) $x = 5 ; y = 9 ; z = 3$

Quizplus · Accepted Answer

By comparing the matrices element-wise, we find that $x = 5$, $y = 9$, and $z = 3$.

Determine the Value of Each Variable [5−193]=[x−1yz]\left[ \begin{array} { r r } 5 & - 1 \\9 & 3\end{array} \right] = \left[ \begin{array} { r r } x & - 1 \\y & z\end{array} \right][59​−13​]=[xy​−1z​]

Determine the Value of Each Variable $\left[ \begin{array} { r r } 5 & - 1 \\9 & 3\end{array} \right] = \left[ \begin{array} { r r } x & - 1 \\y & z\end{array} \right]$