Understand What is Meant by Equal Matrices
-$$\left[ \begin{array} { r r }
6 & - 8 \
- 7 & 9
\end{array} \right] = \left[ \begin{array} { r r }
x y \
- 7 & z
\end{array} \right]$$
A) $x = 6 ; y = - 8 ; z = 9$
B) $x = 6 ; y = - 8 ; z = - 7$
C) $x = 6 ; y = - 7 ; z = 9$
D) $x = - 8 ; y = 6 ; z = 9$

Question

Understand What is Meant by Equal Matrices
-$$\left[ \begin{array} { r r } 
6 & - 8 \
- 7 & 9
\end{array} \right] = \left[ \begin{array} { r r } 
x y \
- 7 & z
\end{array} \right]$$
A) $x = 6 ; y = - 8 ; z = 9$
B) $x = 6 ; y = - 8 ; z = - 7$
C) $x = 6 ; y = - 7 ; z = 9$
D) $x = - 8 ; y = 6 ; z = 9$

Quizplus · Accepted Answer

For two matrices to be equal, corresponding elements must be equal. Comparing elements, $x = 6$, $y = -8$, and $z = 9$.

Understand What Is Meant by Equal Matrices - [6−8−79]=[xy−7z]\left[ \begin{array} { r r } 6 & - 8 \\- 7 & 9\end{array} \right] = \left[ \begin{array} { r r } x y \\- 7 & z\end{array} \right][6−7​−89​]=[xy−7​z​]

Understand What Is Meant by Equal Matrices
- $\left[ \begin{array} { r r } 6 & - 8 \\- 7 & 9\end{array} \right] = \left[ \begin{array} { r r } x y \\- 7 & z\end{array} \right]$