Find the Inverse of the Matrix $\left[ \begin{array} { c c c } 7 & 7 & 7 \\21 & 35 & 28 \\21 & 42 & 35\end{array} \right]$

question 250

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c c } 7 & 7 & 7 \\21 & 35 & 28 \\21 & 42 & 35\end{array} \right]$ .

• A) \(\frac { 1 } { 7 } \left[ \begin{array} { c c c }
• 1 & 1 & - 1 \\
• - 3 & 2 & - 1 \\
• 3 & - 3 & 2
• \end{array} \right]\)
• B) \(\frac { 1 } { 7 } \left[ \begin{array} { c c c }
• 1 & 1 & 1 \\
• 0 & - 2 & - 1 \\
• 3 & - 3 & 2
• \end{array} \right]\)
• C) \(- 7 \left[ \begin{array} { c c c }
• 3 & 1 & 0 \\
• - 3 & 1 & - 1 \\
• 1 & - 3 & 2
• \end{array} \right]\)
• D) \(- \frac { 1 } { 7 } \left[ \begin{array} { c c c }
• 1 & 0 & - 1 \\
• - 3 & 2 & - 1 \\
• 2 & - 3 & 3
• \end{array} \right]\)
• E) \(7 \left[ \begin{array} { c c c }
• 1 & 1 & 1 \\
• - 3 & 0 & - 1 \\
• 3 & - 3 & 2
• \end{array} \right]\)

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Definitions:

Brainstem

The portion of the brain that connects the cerebrum with the spinal cord, playing a key role in regulating vital functions such as breathing, heart rate, and blood pressure.

Broca Area

A region of the frontal lobe in the brain associated with language processing, speech production, and comprehension.

Distorted Speech

A modification of speech sounds that renders them unclear or unintelligible, often resulting from neurological disorders, hearing impairment, or environmental factors.

Wernicke Area

A region of the brain important for language comprehension, located in the posterior part of the temporal lobe, typically in the left hemisphere.