Find the Inverse of the Matrix $$\left[ \begin{array} { c c c } 32 & 1 & - 1 \\32 & 32 & - 1 \\- 1 & - 1 & 1\end{array} \right]$$

question 30

Multiple Choice

Find the inverse of the matrix. $$\left[ \begin{array} { c c c } 32 & 1 & - 1 \\32 & 32 & - 1 \\- 1 & - 1 & 1\end{array} \right]$$

• A) \(\left[ \begin{array} { c c c } - \frac { 1 } { 31 } & 0 & \frac { 1 } { 31 } \\ \frac { 1 } { 31 } & \frac { 1 } { 31 } & 0 \\ 0 & \frac { 1 } { 31 } & \frac { 32 } { 31 } \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c } \frac { 1 } { 31 } & 0 & \frac { 1 } { 31 } \\ - \frac { 1 } { 31 } & \frac { 1 } { 31 } & 0 \\ 0 & \frac { 1 } { 31 } & \frac { 32 } { 31 } \end{array} \right]\)
• C)
• \[\left[ \begin{array} { c c c }
• \frac { 1 } { 31 } & 0 & \frac { 1 } { 31 } \\
• \frac { 1 } { 31 } & - \frac { 1 } { 31 } & 0 \\
• 0 & \frac { 1 } { 31 } & \frac { 32 } { 31 }
• \end{array} \right]\]
• D) \(\left[ \begin{array} { c c c } \frac { 1 } { 31 } & 1 & \frac { 1 } { 31 } \\ - \frac { 1 } { 31 } & \frac { 1 } { 31 } & 0 \\ 25 & \frac { 1 } { 31 } & \frac { 32 } { 31 } \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c } - \frac { 1 } { 31 } & 0 & \frac { 1 } { 31 } \\ - \frac { 1 } { 31 } & \frac { 1 } { 31 } & 0 \\ 0 & \frac { 1 } { 31 } & \frac { 32 } { 31 } \end{array} \right]\)

---

Definitions:

Defective

Refers to something that is flawed or lacking in functionality.

Experience-Dependent

Describes neural growth that is stimulated by environmental experiences and may vary from one individual to another.

Synaptogenesis

The generation of synapses or connections between neurons, usually as a result of the growth of axons and dendrites.

Environmental Events

Occurrences in the natural or built environment that can influence the lives of individuals, communities, and ecosystems, such as natural disasters, pollution, and urban development.