Find the Inverse of the Matrix $$\left[ \begin{array} { r r r } 1 & 0 & 0 \\- 1 & 1 & 0 \\1 & 1 & 1\end{array} \right]$$

question 24

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r r } 1 & 0 & 0 \\- 1 & 1 & 0 \\1 & 1 & 1\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r } 1 & 0 & 0 \\ 1 & 1 & 0 \\ - 2 & - 1 & 1 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } 1 & - 1 & 1 \\ 0 & 1 & - 1 \\ 0 & 0 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { l l l } 1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r } - 1 & 0 & 0 \\ - 1 & - 1 & 0 \\ - 1 & - 1 & - 1 \end{array} \right]\)

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Definitions:

Duty-Based

An ethical framework that emphasizes the importance of fulfilling obligations, duties, or rules as the basis for moral action, regardless of the consequences.

Consequentialist

An ethical theory that judges whether an act is right or wrong based on the consequences that result from the action, rather than the action's intrinsic nature or the intentions behind it.

Care-Based

An ethical perspective that emphasizes the importance of interpersonal relationships and the responsibility to care for others.

Virtue-Based

A moral philosophy that emphasizes the role of character and virtue in moral reasoning and ethical decision making.