Find the Inverse of the Matrix A, If It Exists $$A = \left[ \begin{array} { r r r } 0 & 3 & 3 \\- 1 & 0 & 4 \\0 & 7 & 0\end{array} \right]$$

question 56

Multiple Choice

Find the inverse of the matrix A, if it exists.
- $$A = \left[ \begin{array} { r r r } 0 & 3 & 3 \\- 1 & 0 & 4 \\0 & 7 & 0\end{array} \right]$$

• A) \(A ^ { - 1 }\) does not exist.
• B) \(A ^ { - 1 } = \left[ \begin{array} { c c c } - \frac { 3 } { 3 } & - 1 & - \frac { 7 } { 7 } \\ - \frac { 1 } { 7 } & 0 & \frac { 1 } { 7 } \\ \frac { 1 } { 3 } & 0 & 0 \end{array} \right]\)
• C) \(A ^ { - 1 } = \left[ \begin{array} { r r r } \frac { 4 } { 3 } & 0 & \frac { 1 } { 3 } \\ - 1 & 0 & 0 \\ - \frac { 4 } { 7 } & \frac { 1 } { 7 } & - \frac { 1 } { 7 } \end{array} \right]\)
• D) \(A ^ { - 1 } = \left[ \begin{array} { c c r } \frac { 4 } { 3 } & - 1 & - \frac { 4 } { 7 } \\ 0 & 0 & \frac { 1 } { 7 } \\ \frac { 1 } { 3 } & 0 & - \frac { 1 } { 7 } \end{array} \right]\)

---

Definitions:

Intimacy Versus Isolation

A stage in Erik Erikson's theory of psychosocial development where young adults face the challenge of forming close relationships or experiencing loneliness and isolation.

Socioeconomic Status (SES)

An individual's or family's economic and social position in relation to others, based on income, education, and occupation.

Intelligence (IQ)

Measures cognitive abilities, such as problem-solving, reasoning, and the ability to learn, often quantified as an Intelligence Quotient.

Middle Adulthood

A stage in human development generally considered to range from about 40 to 65 years of age, characterized by increased personal and professional responsibilities and awareness of aging.