Decide whether the matrices are inverses of each other. (Check to see if their product is the identity matrix I.)
-$ \left[\begin{array}{rrr}1 & 2 & 0 \ -2 & 0 & 2 \ 3 & 2 & -4\end{array}\right] $ and $ \left[\begin{array}{rrr}\frac{1}{2} & -1 & -\frac{1}{2} \ \frac{1}{4} & \frac{1}{2} & \frac{1}{4} \ \frac{1}{2} & -\frac{1}{2} & -\frac{1}{2}\end{array}\right] $

Question

Quizplus · Accepted Answer

Multiplying the two matrices results in the identity matrix $I_3 = \left[\begin{array}{rrr}1 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1\end{array}\right]$, confirming they are inverses of each other.

Decide Whether the Matrices Are Inverses of Each Other [120−20232−4] \left[\begin{array}{rrr}1 & 2 & 0 \\ -2 & 0 & 2 \\ 3 & 2 & -4\end{array}\right] ​1−23​202​02−4​​

Decide Whether the Matrices Are Inverses of Each Other $\left[\begin{array}{rrr}1 & 2 & 0 \\ -2 & 0 & 2 \\ 3 & 2 & -4\end{array}\right]$