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:

Rejecting

In statistical hypothesis testing, it refers to the act of dismissing the null hypothesis based on the level of significance and the test statistic.

Type I Error

The error of incorrectly dismissing a true null hypothesis, often referred to as a "false positive" in the context of hypothesis testing.

Innocent Person

An innocent person is someone who has not committed a crime or any offence they are accused of.

Guilty Defendant

In legal terminology, a person who has been formally charged with or convicted of a criminal offense.