Understand What is Meant by Equal Matrices
-$$\left[ \begin{array} { r r }
x & y + 6 \
9 z & 3
\end{array} \right] = \left[ \begin{array} { c c }
8 & 8 \
90 & 3
\end{array} \right]$$
A) $x = 8 ; y = 2 ; z = 10$
B) $x = 8 ; y = 8 ; z = 90$
C) $x = 8 ; y = 3 ; z = 8$
D) $x = 3 ; y = 14 ; z = 810$

Question

Understand What is Meant by Equal Matrices
-$$\left[ \begin{array} { r r } 
x & y + 6 \
9 z & 3
\end{array} \right] = \left[ \begin{array} { c c } 
8 & 8 \
90 & 3
\end{array} \right]$$
A) $x = 8 ; y = 2 ; z = 10$
B) $x = 8 ; y = 8 ; z = 90$
C) $x = 8 ; y = 3 ; z = 8$
D) $x = 3 ; y = 14 ; z = 810$

Quizplus · Accepted Answer

For two matrices to be equal, their corresponding elements must be equal. Comparing elements gives $x = 8$, $y + 6 = 8$ so $y = 2$, and $9z = 90$ so $z = 10$.

Understand What Is Meant by Equal Matrices - [xy+69z3]=[88903]\left[ \begin{array} { r r } x & y + 6 \\9 z & 3\end{array} \right] = \left[ \begin{array} { c c } 8 & 8 \\90 & 3\end{array} \right][x9z​y+63​]=[890​83​]

Understand What Is Meant by Equal Matrices
- $\left[ \begin{array} { r r } x & y + 6 \\9 z & 3\end{array} \right] = \left[ \begin{array} { c c } 8 & 8 \\90 & 3\end{array} \right]$