Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { r r r r } 0 & 5 & 0 & - 2 \\ 6 & 15 & - 3 & - 4 \\ 12 & 10 & - 6 & - 2 \\ 18 & 0 & - 6 & 0 \end{array} \right]$

question 234

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $\left[ \begin{array} { r r r r } 0 & 5 & 0 & - 2 \\ 6 & 15 & - 3 & - 4 \\ 12 & 10 & - 6 & - 2 \\ 18 & 0 & - 6 & 0 \end{array} \right]$

• A)
• \(\left[ \begin{array} { r r r r } - \frac { 1 } { 3 } & - \frac { 3 } { 5 } & - 1 & - 2 \\ \frac { 1 } { 3 } & \frac { 2 } { 5 } & 1 & \frac { 1 } { 2 } \\ - \frac { 1 } { 3 } & - \frac { 1 } { 5 } & - 1 & - \frac { 1 } { 2 } \\ \frac { 1 } { 6 } & 0 & \frac { 1 } { 3 } & 0 \end{array} \right]\)
• B)
• \[\left[ \begin{array} { c c c c }
• \frac { 1 } { 3 } & - \frac { 1 } { 3 } & \frac { 1 } { 3 } & - \frac { 1 } { 6 } \\
• \frac { 3 } { 5 } & - \frac { 2 } { 5 } & \frac { 1 } { 5 } & 0 \\
• 1 & - 1 & 1 & \frac { 1 } { 3 } \\
• - \frac { 3 } { 2 } & - 1 & \frac { 1 } { 2 } & 0
• \end{array} \right]\]
• C) The inverse does not exist.
• D)
• \[\left[ \begin{array} { c c c c }
• - \frac { 1 } { 3 } & \frac { 1 } { 3 } & - \frac { 1 } { 3 } & \frac { 1 } { 6 } \\
• - \frac { 3 } { 5 } & \frac { 2 } { 5 } & - \frac { 1 } { 5 } & 0 \\
• - 1 & 1 & - 1 & \frac { 1 } { 3 } \\
• - 2 & 1 & - \frac { 1 } { 2 } & 0
• \end{array} \right]\]

Examine the cultural, social, and economic trends of the late 20th century, including the rise of the Christian Right and the conditions leading to the "Second Gilded Age."

Compare and contrast the accomplishments and challenges faced by the civil rights and women’s movements.

Critique the reasons behind the decline of America's "golden age" and its impacts on labor and consumers.

Understand the impact and legacy of Barry Goldwater's conservative movement.

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