Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { l l } 4 & 5 \\ 1 & 0 \end{array} \right]$

question 40

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $\left[ \begin{array} { l l } 4 & 5 \\ 1 & 0 \end{array} \right]$

• A)
• \(\left[ \begin{array} { r r } 0 & - 1 \\ - \frac { 1 } { 5 } & - \frac { 4 } { 5 } \end{array} \right]\)
• B)
• \(\left[ \begin{array} { c c } 0 & 1 \\ \frac { 1 } { 5 } - \frac { 4 } { 5 } \end{array} \right]\)
• C)
• \(\left[ \begin{array} { c } - \frac { 4 } { 5 } 1 \\ \frac { 1 } { 5 } 0 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { c c } \frac { 1 } { 5 } - \frac { 4 } { 5 } \\ 0 & 1 \end{array} \right]\)

---

Definitions:

Federal Government's Role

The responsibilities and powers assigned to the national government as opposed to state or local governments.

Elementary and Secondary Education

Refers to the first stages of formal education typically provided to children and adolescents, covering kindergarten through high school levels.

K-12 Education Spending

Financial outlay by governments and private entities towards education from kindergarten through 12th grade, covering expenses such as teacher salaries and school infrastructure.

Federal Government

The national government of a federal country, which shares sovereignty with constituent states or provinces and possesses powers specifically granted to it by the constitution.