Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r r } 0 & 1 & 1 \\- 5 & 0 & 5 \\0 & 7 & 0\end{array} \right]$$

question 287

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r r } 0 & 1 & 1 \\- 5 & 0 & 5 \\0 & 7 & 0\end{array} \right]$$

• A) The inverse does not exist.
• B) \[\left[ \begin{array} { r r r }
• 1 & 0 & 1 \\
• - \frac { 1 } { 5 } & 0 & 0 \\
• - \frac { 1 } { 7 } & \frac { 1 } { 7 } & - \frac { 1 } { 7 }
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r }
• 1 & - \frac { 1 } { 5 } & - \frac { 1 } { 7 } \\
• 0 & 0 & \frac { 1 } { 7 } \\
• 1 & 0 & - \frac { 1 } { 7 }
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r r }
• - 1 & - \frac { 1 } { 5 } & - \frac { 1 } { 7 } \\
• - \frac { 1 } { 7 } & 0 & \frac { 1 } { 7 } \\
• 1 & 0 & 0
• \end{array} \right]\]

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Definitions:

Accrued Interest

The interest on a loan or bond that has accumulated since the principal investment, or last payment, and has yet to be paid.

Principal

The original sum of money borrowed in a loan or the initial amount of investment, excluding any interest or dividends.

Issue Price

The price at which new shares, bonds, or other securities are offered to the public or institutional investors for the first time.

Future Value

The value of a current asset at a specified date in the future based on an assumed rate of growth over time.