Decide Whether or Not the Matrices Are Inverses of Each

question 44

Multiple Choice

Decide whether or not the matrices are inverses of each other.
- $$\left[ \begin{array} { l l } 9 & - 2 \\7 & - 2\end{array} \right] \text { and } \left[ \begin{array} { c c } 0.5 & 0.5 \\- \frac { 7 } { 4 } & - \frac { 9 } { 4 }\end{array} \right]$$

• A) Yes
• B) No

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Definitions:

Bond Dissociation Energies

The energy required to break a bond homolytically, resulting in two radical fragments, important for understanding reaction kinetics.

ΔH°

The standard enthalpy change of a reaction, measured under standard conditions (1 bar, 298.15K), representing the heat absorbed or released.

Bond Dissociation Energy

The energy required to break a particular bond in a molecule to form neutral atoms, usually measured in kilojoules per mole (kJ/mol).

Carbon-chlorine Bond

A chemical bond between carbon and chlorine atoms, common in organic chemistry, particularly in the manufacture of solvents and pesticides.