Understand What is Meant by Equal Matrices
Find values for the variables so that the matrices are equal.
-$$\left[ \begin{array} { r r }
x & y + 5 \
7 z & 10
\end{array} \right] = \left[ \begin{array} { c c }
3 & 11 \
56 & 10
\end{array} \right]$$
A) $x = 3 ; y = 6 ; z = 8$
B) $x = 3 ; y = 11 ; z = 56$
C) $x = 11 ; y = 10 ; z = 3$
D) $x = 10 ; y = 16 ; z = 392$

Question

Understand What is Meant by Equal Matrices
Find values for the variables so that the matrices are equal.
-$$\left[ \begin{array} { r r } 
x & y + 5 \
7 z & 10
\end{array} \right] = \left[ \begin{array} { c c } 
3 & 11 \
56 & 10
\end{array} \right]$$
A) $x = 3 ; y = 6 ; z = 8$
B) $x = 3 ; y = 11 ; z = 56$
C) $x = 11 ; y = 10 ; z = 3$
D) $x = 10 ; y = 16 ; z = 392$

Quizplus · Accepted Answer

For two matrices to be equal, their corresponding elements must be equal. Comparing the given matrices element by element, we get: $x = 3$, $y + 5 = 11$ which gives $y = 6$, and $7z = 56$ which gives $z = 8$.

Understand What Is Meant by Equal Matrices Find Values for the Variables

Understand What Is Meant by Equal Matrices
Find Values for the Variables