Use Row Reduction to Find the Inverse of the Given $\left[ \begin{array} { l l } 3 & 1 \\5 & 2\end{array} \right]$

question 144

Multiple Choice

Use row reduction to find the inverse of the given matrix, if it exists. Check your answers by multiplication.
$\left[ \begin{array} { l l } 3 & 1 \\5 & 2\end{array} \right]$

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

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