Find the Inverse Matrix of A $$A = \left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$$

question 63

Multiple Choice

Find the inverse matrix of A.
- $$A = \left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r } - 3 & 10 & - 3 \\ 2 & - 4 & 1 \\ - 1 & 1 & 0 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } - 3 & 10 & - 3 \\ 2 & - 4 & 0 \\ - 1 & - 1 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c } 1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \\ 1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \\ \frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 } \end{array} \right]\)
• D) \(\left[ \begin{array} { l l l } - 1 & - 3 & - 2 \\ - 1 & - 3 & - 3 \\ - 2 & - 7 & - 8 \end{array} \right]\)

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Definitions:

Initial Investment

The initial amount of capital used to start a business venture, purchase an asset, or make an investment.

Interest Allowance

A sum that lenders may offer to borrowers, reducing the effective cost or total amount of payable interest on a loan.

Interest Allowance Method

A method used in accounting to allocate payments on an installment loan between the principal and the interest expense.

Capital Investment

Funds used by a company to acquire, upgrade, and maintain physical assets such as property, industrial buildings, or equipment.