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 279

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:

Sublingual Glands

Salivary glands located beneath the tongue, responsible for secreting saliva that aids in digestion and oral hygiene.

Intrinsic Factor

Factor secreted by the parietal cells of gastric glands and required for adequate absorption of vitamin B12.

Mucous Cells

Specialized cells present in various glands and tissues that produce and secrete mucus.

Parietal Cells

Cells located in the lining of the stomach that secrete hydrochloric acid and intrinsic factor.