Decide Whether or Not the Matrices Are Inverses of Each $\left[ \begin{array} { l l } 5 & 3 \\ 3 & 2 \end{array} \right]$

question 164

Multiple Choice

Decide whether or not the matrices are inverses of each other.
- $\left[ \begin{array} { l l } 5 & 3 \\ 3 & 2 \end{array} \right]$ and $\left[ \begin{array} { r r } 2 & - 3 \\ - 3 & 5 \end{array} \right]$

• A) Yes
• B) \(\mathrm { No }\)

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Definitions:

Acetic Acid

An organic compound with the formula CH3COOH, known as the main component of vinegar apart from water, and widely used as a solubility agent and a reagent in the production of chemical compounds.

Anion

An anion is a negatively charged ion, meaning it has more electrons than protons, which is typically formed when an atom gains one or more electrons.

Acetic Acid Solution

A solution composed of acetic acid, often used in vinegar, with acidic properties resulting from the presence of acetic acid.

Buffer Solution

A solution that resists changes in pH upon the addition of small amounts of acid or base, typically made from a weak acid and its conjugate base.