Decide whether or not the matrices are inverses of each other.
-$$\left[ \begin{array} { r r r }
1 & - 1 & 2 \
- 3 & - 2 & 4 \
- 1 & 1 & 1
\end{array} \right] \text { and } \left[ \begin{array} { r r r }
2 & - 1 & 0 \
- 1 & 1 & - 2 \
1 & 0 & - 1
\end{array} \right]$$
A) Yes
B) No

Question

Decide whether or not the matrices are inverses of each other.
-$$\left[ \begin{array} { r r r } 
1 & - 1 & 2 \
- 3 & - 2 & 4 \
- 1 & 1 & 1
\end{array} \right] \text { and } \left[ \begin{array} { r r r } 
2 & - 1 & 0 \
- 1 & 1 & - 2 \
1 & 0 & - 1
\end{array} \right]$$
A) Yes
B) No

Quizplus · Accepted Answer

To determine if two matrices are inverses, their product should be the identity matrix. Multiplying the given matrices does not result in the identity matrix, so they are not inverses.

Decide Whether or Not the Matrices Are Inverses of Each