Solve the problem.
-Does the associative property of multiplication, (A × B) × C = A × (B × C), hold for matrices A, B, And C?
$$\mathrm { A } = \left[ \begin{array} { r r }
- 1 & 0 \
3 & 2
\end{array} \right] , \mathrm { B } = \left[ \begin{array} { r r }
- 1 & 3 \
3 & 1
\end{array} \right] , \mathrm { C } = \left[ \begin{array} { r r }
2 & 3 \
- 3 & 1
\end{array} \right]$$
A) Yes
B) No

Question

Solve the problem.
-Does the associative property of multiplication, (A × B) × C = A × (B × C), hold for matrices A, B, And C?
$$\mathrm { A } = \left[ \begin{array} { r r } 
- 1 & 0 \
3 & 2
\end{array} \right] , \mathrm { B } = \left[ \begin{array} { r r } 
- 1 & 3 \
3 & 1
\end{array} \right] , \mathrm { C } = \left[ \begin{array} { r r } 
2 & 3 \
- 3 & 1
\end{array} \right]$$
A) Yes
B) No

Quizplus · Accepted Answer

The associative property of multiplication does hold for matrices, meaning the order in which the matrices are multiplied does not change the result, as long as the sequence of the matrices remains the same. Therefore, $(A \times B) \times C = A \times (B \times C)$ is true for matrices A, B, and C.

Solve the Problem A) Yes B) No

Solve the Problem A) Yes
B) No