Find the Inverse of the Matrix $\left[ \begin{array} { c c } 4 & - 5 \\ 1 & 5 \end{array} \right]$

question 34

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c } 4 & - 5 \\ 1 & 5 \end{array} \right]$ (if it exists) .

• A) \(- \frac { 1 } { 25 } \left[ \begin{array} { c c } 5 & 5 \\ - 1 & 4 \end{array} \right]\)
• B) \(\frac { 1 } { 25 } \left[ \begin{array} { c c } 5 & 5 \\ - 1 & 4 \end{array} \right]\)
• C) \(\frac { 1 } { 25 } \left[ \begin{array} { c c } - 5 & - 5 \\ 1 & - 4 \end{array} \right]\)
• D) \(\frac { 1 } { 25 } \left[ \begin{array} { c c } 4 & - 5 \\ 1 & 5 \end{array} \right]\)
• E) does not exist

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Definitions:

Statutory Ratification

The process by which a legislative body formally approves an action, treaty, or agreement previously enacted or signed.

Overissued Shares

Stock shares that have been erroneously or unlawfully issued beyond the number authorized by the company's charter.

Debt

Money owed by one party (the debtor) to another (the creditor), typically arising from a transaction of financial borrowing.

Equity Securities

Financial instruments representing ownership interest in a company, such as stocks.