Solve the problem.
-Are the matrices A and B multiplicative inverses? $$A = \left[ \begin{array} { l l }
5 & 3 \
3 & 2
\end{array} \right] , B = \left[ \begin{array} { r r }
2 & - 3 \
- 3 & 5
\end{array} \right]$$
A) Yes
B) No

Question

Solve the problem.
-Are the matrices A and B multiplicative inverses? $$A = \left[ \begin{array} { l l } 
5 & 3 \
3 & 2
\end{array} \right] , B = \left[ \begin{array} { r r } 
2 & - 3 \
- 3 & 5
\end{array} \right]$$
A) Yes
B) No

Quizplus · Accepted Answer

To determine if matrices A and B are multiplicative inverses, we need to check if their product is the identity matrix. Multiplying A and B gives: $$AB = \left[ \begin{array} { l l } 5 & 3 \ 3 & 2 \end{array} \right] \left[ \begin{array} { r r } 2 & -3 \ -3 & 5 \end{array} \right] = \left[ \begin{array} { l l } 10 - 9 & -15 + 15 \ 6 - 6 & -9 + 10 \end{array} \right] = \left[ \begin{array} { l l } 1 & 0 \ 0 & 1 \end{array} \right]$$ This is the identity matrix, so A and B are indeed multiplicative inverses.

Solve the Problem A=[5332],B=[2−3−35]A = \left[ \begin{array} { l l } 5 & 3 \\3 & 2\end{array} \right] , B = \left[ \begin{array} { r r } 2 & - 3 \\- 3 & 5\end{array} \right]A=[53​32​],B=[2−3​−35​]

Solve the Problem $A = \left[ \begin{array} { l l } 5 & 3 \\3 & 2\end{array} \right] , B = \left[ \begin{array} { r r } 2 & - 3 \\- 3 & 5\end{array} \right]$