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

Question

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

Quizplus · Accepted Answer

To determine if two matrices are inverses of each other, their product must equal the identity matrix. Multiplying the given matrices does not result in the identity matrix, thus they are not inverses of each other.

Decide Whether or Not the Matrices Are Inverses of Each