Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r r } 0 & 4 & 4 \\- 3 & 0 & 5 \\0 & 4 & 0\end{array} \right]$$

question 129

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r r } 0 & 4 & 4 \\- 3 & 0 & 5 \\0 & 4 & 0\end{array} \right]$$

• A)
• \[\left[ \begin{array} { r r r }
• \frac { 5 } { 12 } & - \frac { 1 } { 3 } & - \frac { 5 } { 12 } \\
• 0 & 0 & \frac { 1 } { 4 } \\
• \frac { 1 } { 4 } & 0 & - \frac { 1 } { 4 }
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r }
• - \frac { 5 } { 12 } & - \frac { 1 } { 3 } & - \frac { 5 } { 12 } \\
• - \frac { 1 } { 4 } & 0 & \frac { 1 } { 4 } \\
• \frac { 1 } { 4 } & 0 & 0
• \end{array} \right]\]
• C) The inverse does not exist.
• D)
• \[\left[ \begin{array} { r r r }
• \frac { 5 } { 12 } & 0 & \frac { 1 } { 4 } \\
• - \frac { 1 } { 3 } & 0 & 0 \\
• - \frac { 5 } { 12 } & \frac { 1 } { 4 } & - \frac { 1 } { 4 }
• \end{array} \right]\]

---

Definitions:

Coronary artery disease

A condition characterized by the narrowing or blockage of the coronary arteries due to plaque buildup, leading to reduced blood flow to the heart.

Atherosclerosis

The accumulation of fatty deposits along the inner walls of arteries.

Total cholesterol

The sum of all the cholesterol types in the bloodstream, including HDL, LDL, and VLDL.

Blood test

A clinical analysis performed on a blood sample to evaluate general state of health or detect illnesses.