Find the Inverse of the Matrix $$\left[ \begin{array} { c c } 1 & 4 \\- 4 & - 1\end{array} \right]$$

question 2

Multiple Choice

Find the inverse of the matrix. $$\left[ \begin{array} { c c } 1 & 4 \\- 4 & - 1\end{array} \right]$$

• A) \(\left[ \begin{array} { c c } \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ \frac { 4 } { 15 } & \frac { 1 } { 15 } \end{array} \right]\)
• B)
• \(\left[ \begin{array} { c c } - \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ - \frac { 4 } { 15 } & \frac { 1 } { 15 } \end{array} \right]\)
• C)
• \(\left[\begin{array}{cc}
• -\frac{1}{15} & \frac{4}{15} \\
• \frac{4}{15} & \frac{1}{15}
• \end{array}\right]\)
• D) \(\left[ \begin{array} { c c } - \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ \frac { 4 } { 15 } & \frac { 1 } { 15 } \end{array} \right]\)
• E) \(\left[ \begin{array} { c c } - \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ \frac { 4 } { 15 } & - \frac { 1 } { 15 } \end{array} \right]\)

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Definitions:

Genetic Pollution

The uncontrolled spread of genetically modified or non-native genes into wild populations, potentially threatening biodiversity and ecosystem stability.

Surface Air Temperature

The temperature of the air near the Earth's surface, which is a critical indicator of climate change and environmental conditions.

Pollutants

Substances that contaminate the environment, causing harm or discomfort to organisms and ecosystems.

Environmental Degradation

The deterioration of the natural environment through processes such as pollution, deforestation, and climate change.