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

Question

Decide whether the matrices are inverses of each other. (Check to see if their product is the identity matrix I.)

\left.\begin{array}{rr}-2 & 4 \\ 4 & -4\end{array}\right]

and

\left[\begin{array}{ll}\frac{1}{2} & \frac{1}{4} \\ \frac{1}{2} & \frac{1}{4}\end{array}\right]

Quizplus · Accepted Answer

Multiplying the two matrices does not yield the identity matrix. The product of the matrices is $ \left[\begin{array}{cc}0 & 0 \ 0 & 0\end{array}\right] $, not the identity matrix $ \left[\begin{array}{cc}1 & 0 \ 0 & 1\end{array}\right] $.

Decide Whether the Matrices Are Inverses of Each Other −244−4] \left.\begin{array}{rr}-2 & 4 \\ 4 & -4\end{array}\right] −24​4−4​]

Decide Whether the Matrices Are Inverses of Each Other $\left.\begin{array}{rr}-2 & 4 \\ 4 & -4\end{array}\right]$