Find the Inverse, If It Exists, for the Matrix $$\left[\begin{array}{rrr}2 & -1 & 0 \\3 & -2 & 0 \\-2 & 3 & 1\end{array}\right]$$

question 80

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[\begin{array}{rrr}2 & -1 & 0 \\3 & -2 & 0 \\-2 & 3 & 1\end{array}\right]$$

• A)\( \left[\begin{array}{rrr}2 & -1 & 0 \\ 3 & 2 & 0 \\ -5 & 4 & 1\end{array}\right] \)
• B)\( \left[\begin{array}{rrr}1 & -1 & 0 \\ 3 & -2 & 1 \\ -5 & 4 & -1\end{array}\right] \)
• C) \( \left[\begin{array}{rrr}2 & -1 & 0 \\ 3 & -2 & 0 \\ -5 & 4 & -1\end{array}\right] \)
• D)\( \left[\begin{array}{rrr}2 & -1 & 0 \\ 3 & -2 & 0 \\ -5 & 4 & 1\end{array}\right] \)

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Definitions:

Sinking Funds

A method for a company to pay off debt by setting aside money over time, ensuring funds are available to repay the debt or replace an asset.

Current Liability

A company's debts or obligations that are due within one year or within the normal operating cycle, necessitating the use of current assets or the creation of new current liabilities.

Operating Cycle

The period it takes for a company to purchase inventory, sell it, and convert the sale into cash.

Bonds Payable

Long-term liabilities representing borrowed money that a company must repay to bondholders, typically with periodic interest payments.