Use Row Reduction to Find the Inverse of the Given $\left[ \begin{array} { c c c c } 1 & 1 & - 1 & 1 \\- 2 & 1 & 1 & 0 \\- 2 & 1 & 0 & 1 \\4 & - 1 & - 1 & - 1\end{array} \right]$

question 70

Multiple Choice

Use row reduction to find the inverse of the given matrix, if it exists, and check your answer by multiplication. $\left[ \begin{array} { c c c c } 1 & 1 & - 1 & 1 \\- 2 & 1 & 1 & 0 \\- 2 & 1 & 0 & 1 \\4 & - 1 & - 1 & - 1\end{array} \right]$

• A) \(\left[ \begin{array} { c c c c }
• - 3 & - 4 & 6 & - 1 \\
• 4 & 5 & - 7 & 1 \\
• 5 & 8 & - 11 & 2 \\
• 5 & 7 & - 10 & 2
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c c }
• - 3 & 4 & 5 & 5 \\
• - 4 & 5 & 8 & - 1 \\
• 6 & - 7 & - 11 & - 10 \\
• - 1 & 1 & 2 & 2
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c c }
• 1 & 0 & - 2 & - 1 \\
• 0 & 1 & 1 & 1 \\
• 2 & 0 & - 5 & - 3 \\
• 2 & - 1 & - 4 & - 3
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c c }
• 1 & 0 & 2 & 2 \\
• 0 & 1 & 0 & - 1 \\
• - 2 & 1 & - 5 & - 4 \\
• - 1 & 1 & - 3 & - 3
• \end{array} \right]\)
• E) The inverse matrix does not exist.

Comprehend the importance of the measurement scales and their impact on data analysis.

Acknowledge the variations in data and their implications in statistical thinking.

Learn the fundamental principles underlying statistical methodology.

Identify the role of descriptive and inferential statistics in summarizing and interpreting data.

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