Find the Inverse of the Matrix $\left[ \begin{array} { c c } - 8 & 14 \\- 4 & 7\end{array} \right]$

question 125

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c } - 8 & 14 \\- 4 & 7\end{array} \right]$ (if it exists) .

• A) \(\frac { 1 } { 4 } \left[ \begin{array} { l l }
• 7 & - 14 \\
• 4 & - 8
• \end{array} \right]\)
• B) \(- \frac { 1 } { 8 } \left[ \begin{array} { c c }
• 7 & - 14 \\
• 4 & - 8
• \end{array} \right]\)
• C) \(- \frac { 1 } { 4 } \left[ \begin{array} { c c }
• - 7 & - 14 \\
• 4 & 8
• \end{array} \right]\)
• D) \(\frac { 1 } { 7 } \left[ \begin{array} { c c }
• - 8 & 14 \\
• - 4 & 7
• \end{array} \right]\)
• E)does not exist

---

Definitions:

Melanin

The pigment that gives color to the skin, hair, and eyes, providing protection against UV radiation damage.

Subcutaneous Tissue

The layer of tissue directly under the skin, consisting of fat and connective tissues that insulate and protect the body.

Integumentary System

The organ system that protects the body from external damage, consisting of the skin and its appendages like hair, nails, and glands.

Dermal Papillae

Small, nipple-like extensions of the dermis into the epidermis, increasing the surface area for exchange of gases, nutrients, and waste.