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

Question

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

Quizplus · Accepted Answer

To determine if two matrices are inverses of each other, you can multiply them together. If the product is the identity matrix, then they are inverses. In this case, multiplying these two matrices does not result in the identity matrix, so they are not inverses of each other.

Decide Whether or Not the Matrices Are Inverses of Each