Find the Inverse Matrix of A $$A = \left[ \begin{array} { r r r } 0 & 1 & 1 \\- 5 & 0 & 6 \\0 & 4 & 0\end{array} \right]$$

question 161

Multiple Choice

Find the inverse matrix of A.
- $$A = \left[ \begin{array} { r r r } 0 & 1 & 1 \\- 5 & 0 & 6 \\0 & 4 & 0\end{array} \right]$$

• A)
• \[\left[ \begin{array} { c c c }
• \frac { 6 } { 5 } & 0 & 1 \\
• - \frac { 1 } { 5 } & 0 & 0 \\
• - \frac { 3 } { 10 } & \frac { 1 } { 4 } & - \frac { 1 } { 4 }
• \end{array} \right]\]
• B)
• \(\left[\begin{array}{ccr}
• \frac{6}{5} & -\frac{1}{5} & -\frac{3}{10} \\
• 0 & 0 & \frac{1}{4} \\
• 1 & 1 & -\frac{1}{4}
• \end{array}\right]\)
• C)
• \(\left[\begin{array}{rrr}
• \frac{6}{5} & -\frac{1}{5} & -\frac{3}{10} \\
• 0 & 0 & \frac{1}{4} \\
• 1 & 0 & -\frac{1}{4}
• \end{array}\right]\)
• D)
• \[\left[ \begin{array} { r r r }
• - \frac { 6 } { 5 } & - \frac { 1 } { 5 } & - \frac { 3 } { 10 } \\
• - \frac { 1 } { 4 } & 0 & \frac { 1 } { 4 } \\
• 1 & 0 & 0
• \end{array} \right]\]

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Definitions:

Daniel Dulany

Daniel Dulany was an 18th-century American colonial leader and Loyalist, known for his writings opposing British tax policies prior to the American Revolution.

Imposing Taxes

The act of establishing and enforcing mandatory contributions to be paid by individuals or businesses to support government activities and services.

British Colonies

Territories under British rule during the age of exploration and empire, significant for the spread of English language, culture, and economic systems worldwide.

Townshend Duties

The Townshend Duties were a series of British taxes on colonies in America imposed in 1767 on imports such as tea, glass, and paper, which sparked widespread protests.