Find the Inverse of A $A = \left[ \begin{array} { c c c } - 4 & 12 & 4 \\8 & 20 & 0 \\12 & 4 & - 8\end{array} \right]$

question 243

Multiple Choice

Find the inverse of A.
$A = \left[ \begin{array} { c c c } - 4 & 12 & 4 \\8 & 20 & 0 \\12 & 4 & - 8\end{array} \right]$

• A) \(A ^ { - 1 } = \frac { 1 } { 36 } \left[ \begin{array} { c c c }
• 10 & 7 & 5 \\
• 4 & - 1 & 2 \\
• - 13 & 10 & - 11
• \end{array} \right]\)
• B) \(A ^ { - 1 } = \frac { 1 } { 24 } \left[ \begin{array} { c c c }
• 10 & 7 & 5 \\
• 4 & 1 & 2 \\
• 13 & 10 & 11
• \end{array} \right]\)
• C) \(A ^ { - 1 } = \frac { 1 } { 28 } \left[ \begin{array} { c c c }
• - 10 & 7 & - 5 \\
• 4 & - 1 & 2 \\
• - 13 & 10 & - 11
• \end{array} \right]\)
• D) \(A ^ { - 1 } = \frac { 1 } { 36 } \left[ \begin{array} { c c c }
• - 10 & 7 & - 5 \\
• 4 & - 1 & 2 \\
• - 13 & 10 & - 11
• \end{array} \right]\)
• E) \(A ^ { - 1 } = \frac { 1 } { 28 } \left[ \begin{array} { c c c }
• 10 & 7 & 5 \\
• 4 & 1 & 2 \\
• 13 & 10 & 11
• \end{array} \right]\)

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