Use Row Reduction to Find the Inverse of the Given $\left[ \begin{array} { l l } 2 & 2 \\8 & 8\end{array} \right]$

question 4

Multiple Choice

Use row reduction to find the inverse of the given matrix, if it exists, and check your answer by multiplication. $\left[ \begin{array} { l l } 2 & 2 \\8 & 8\end{array} \right]$

• A) \(\left[ \begin{array} { c }
• \frac { 1 } { 8 } - \frac { 1 } { 2 } \\
• - \frac { 1 } { 8 } \quad \frac { 1 } { 2 }
• \end{array} \right.\)
• B) \(\left[ \begin{array} { c c }
• 2 & - 8 \\
• - 2 & 8
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c }
• 2 & - 2 \\
• - 8 & 8
• \end{array} \right]\)
• D) \(\left[\begin{array} { l }
• \frac { 1 } { 8 } &- \frac { 1 } { 8 } \\
• - \frac { 1 } { 2 } &\frac { 1 } { 2 } \\
• \end{array}\right]\)
• E) The inverse matrix does not exist.

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