Solve the problem.
-Does the associative property of addition, (A+C), hold for matrices A, B, and C?
$$\mathrm { A } = \left[ \begin{array} { r r }
- 1 & 0 \
4 & 1
\end{array} \right] , \mathrm { B } = \left[ \begin{array} { r r }
- 1 & 4 \
3 & 1
\end{array} \right] , C = \left[ \begin{array} { r r }
1 & 4 \
- 4 & 1
\end{array} \right]$$
A) Yes
B) No

Question

Solve the problem.
-Does the associative property of addition, (A+C), hold for matrices A, B, and C?
$$\mathrm { A } = \left[ \begin{array} { r r } 
- 1 & 0 \
4 & 1
\end{array} \right] , \mathrm { B } = \left[ \begin{array} { r r } 
- 1 & 4 \
3 & 1
\end{array} \right] , C = \left[ \begin{array} { r r } 
1 & 4 \
- 4 & 1
\end{array} \right]$$
A) Yes
B) No

Quizplus · Accepted Answer

The associative property of addition for matrices states that for any matrices A, B, and C, the equation (A + B) + C = A + (B + C) holds, provided the matrices are of the same dimension. This property is a fundamental property of matrix addition, similar to the associative property in arithmetic addition.

Solve the Problem A) Yes B) No

Solve the Problem A) Yes
B) No