Find the Inverse of the Matrix $$\left[ \begin{array} { c c c } 8 & 8 & 8 \\24 & 40 & 32 \\24 & 48 & 40\end{array} \right]$$

question 39

Multiple Choice

Find the inverse of the matrix $$\left[ \begin{array} { c c c } 8 & 8 & 8 \\24 & 40 & 32 \\24 & 48 & 40\end{array} \right]$$ .

• A)​ \[\frac { 1 } { 8 } \left[ \begin{array} { c c c }
• 1 & 1 & - 1 \\
• - 3 & 2 & - 1 \\
• 3 & - 3 & 2
• \end{array} \right]\]
• B)​ \[\frac { 1 } { 8 } \left[ \begin{array} { c c c }
• 1 & 1 & 1 \\
• 0 & - 2 & - 1 \\
• 3 & - 3 & 2
• \end{array} \right]\]
• C)​ \[8 \left[ \begin{array} { c c c }
• 1 & 1 & 1 \\
• - 3 & 0 & - 1 \\
• 3 & - 3 & 2
• \end{array} \right]\]
• D)​ \[- \frac { 1 } { 8 } \left[ \begin{array} { c c c }
• 1 & 0 & - 1 \\
• - 3 & 2 & - 1 \\
• 2 & - 3 & 3
• \end{array} \right]\]
• E)​ \[- 8 \left[ \begin{array} { c c c }
• 3 & 1 & 0 \\
• - 3 & 1 & - 1 \\
• 1 & - 3 & 2
• \end{array} \right]\]

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Definitions:

ΔH

Symbol for enthalpy change, representing the amount of heat absorbed or released during a chemical reaction at constant pressure.

π Molecular Orbitals

Orbitals formed by the overlap of p orbitals on adjacent atoms, allowing for the delocalization of electrons above and below the plane of the atoms, typically found in unsaturated compounds.

Descriptive Term

A phrase or word used to describe the characteristics or qualities of something.

Diene

Organic compounds containing two double bonds, often involved in polymerization reactions.