Understand What is Meant by Equal Matrices
Find values for the variables so that the matrices are equal.
-$$\left[ \begin{array} { r r }
x + 3 & y + 4 \
7 & 6
\end{array} \right] = \left[ \begin{array} { r r }
5 & - 4 \
7 & z
\end{array} \right]$$
A) $x = 2 ; y = - 8 ; z = 6$
B) $x = - 2 ; y = 8 ; z = - 6$
C) $x = 5 ; y = - 4 ; z = 6$
D) $x = 2 ; y = 6 ; z = 5$

Question

Understand What is Meant by Equal Matrices
Find values for the variables so that the matrices are equal.
-$$\left[ \begin{array} { r r } 
x + 3 & y + 4 \
7 & 6
\end{array} \right] = \left[ \begin{array} { r r } 
5 & - 4 \
7 & z
\end{array} \right]$$
A) $x = 2 ; y = - 8 ; z = 6$
B) $x = - 2 ; y = 8 ; z = - 6$
C) $x = 5 ; y = - 4 ; z = 6$
D) $x = 2 ; y = 6 ; z = 5$

Quizplus · Accepted Answer

For two matrices to be equal, their corresponding elements must be equal. Comparing the elements of the given matrices, we get $x + 3 = 5$, $y + 4 = -4$, and $z = 6$. Solving these equations gives $x = 2$, $y = -8$, and $z = 6$.

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

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