Find the products AB and BA to determine whether B is the multiplicative inverse of A.
-$$A = \left[ \begin{array} { l l }
5 & 3 \
3 & 2
\end{array} \right] , \quad B = \left[ \begin{array} { r r }
2 & - 3 \
- 3 & 5
\end{array} \right]$$
A) $B = A ^ { - 1 }$
B) $\mathrm { B } \neq \mathrm { A } ^ { - 1 }$

Question

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
-$$A = \left[ \begin{array} { l l } 
5 & 3 \
3 & 2
\end{array} \right] , \quad B = \left[ \begin{array} { r r } 
2 & - 3 \
- 3 & 5
\end{array} \right]$$
A) $B = A ^ { - 1 }$
B) $\mathrm { B } \neq \mathrm { A } ^ { - 1 }$

Quizplus · Accepted Answer

Multiplying matrices A and B in both orders (AB and BA) results in the identity matrix, indicating that B is indeed the multiplicative inverse of A.

Find the Products AB and BA to Determine Whether B A=[5332],B=[2−3−35]A = \left[ \begin{array} { l l } 5 & 3 \\3 & 2\end{array} \right] , \quad B = \left[ \begin{array} { r r } 2 & - 3 \\- 3 & 5\end{array} \right]A=[53​32​],B=[2−3​−35​]

Find the Products AB and BA to Determine Whether B $A = \left[ \begin{array} { l l } 5 & 3 \\3 & 2\end{array} \right] , \quad B = \left[ \begin{array} { r r } 2 & - 3 \\- 3 & 5\end{array} \right]$