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)
• \[\left[ \begin{array} { r r r }
• - 1 & - \frac { 1 } { 5 } & - \frac { 1 } { 7 } \\
• - \frac { 1 } { 7 } & 0 & \frac { 1 } { 7 } \\
• 1 & 0 & 0
• \end{array} \right]\]

---

Definitions:

Future Value

The value of an investment or a sum of money projected to grow over a specified period of time, often calculated using the interest rate.

Present Value

Present value is the current worth of a future sum of money or stream of cash flows given a specified rate of return, used in time value of money calculations to compare investment options.

Amortized Loan

A loan with scheduled periodic payments that consist of both principal and interest, so the loan is paid off by the end of the term.

Repayment Of Principal

Repayment of principal is the process of paying back the original amount borrowed in a loan, separate from interest payments.