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

question 92

True/False

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 $\left[\begin{array}{rrr}\frac{1}{2} & -1 & -\frac{1}{2} \\ \frac{1}{4} & \frac{1}{2} & \frac{1}{4} \\ \frac{1}{2} & -\frac{1}{2} & -\frac{1}{2}\end{array}\right]$

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Definitions:

Constant Marginal Cost

A situation where the cost of producing an additional unit of output does not change with the level of production.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in its price, with higher elasticity indicating a greater responsiveness.

Profit-Maximizing Price

The optimal selling price for a product or service that leads to the highest possible profits for the producer or seller.

Weebles

A line of children's toys designed with a weighted bottom so that they wobble but don't fall down.