Find the Inverse of the Invertible Matrix $\left[ \begin{array} { l l l } 1 & 0 & 0 \\ 4 & 1 & 0 \\ 0 & 3 & 1 \end{array} \right]$

question 61

Multiple Choice

Find the inverse of the invertible matrix.
- $\left[ \begin{array} { l l l } 1 & 0 & 0 \\ 4 & 1 & 0 \\ 0 & 3 & 1 \end{array} \right]$

• A) \(\left[ \begin{array} { r r r } 1 & 3 & - 12 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } 1 & 0 & 0 \\ - 4 & 1 & 0 \\ 12 & - 3 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { l l l } 1 & 0 & 0 \\ 4 & 1 & 0 \\ 0 & 0 & 3 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r } 1 & 0 & 0 \\ 3 & - 1 & 0 \\ - 12 & 4 & 1 \end{array} \right]\)

---

Definitions:

Work Colleagues

Individuals who are employed at the same organization or on the same team, collaborating on professional tasks.

Demonstrates

To show clearly through evidence or examples; to prove or make clear by reasoning or evidence.

Adversity

Difficult or unfavorable conditions or circumstances that one may face in life, often resulting in the need to overcome challenges.

Maintaining

Keeping something in an existing state or condition, often requiring regular check and care.