Find the Inverse of the Matrix $$\left[ \begin{array} { l l } 4 & 1 \\1 & 4\end{array} \right]$$

question 53

Multiple Choice

Find the inverse of the matrix.​ $$\left[ \begin{array} { l l } 4 & 1 \\1 & 4\end{array} \right]$$ ​

• A)​​ \[\left[ \begin{array} { c c }
• \frac { 4 } { 15 } & \frac { 1 } { 15 } \\\\
• \frac { 1 } { 15 } & \frac { 4 } { 15 }
• \end{array} \right]\]
• B)​ \[\left[ \begin{array} { l }
• - \frac { 4 } { 15 } - \frac { 1 } { 15 } \\
• - \frac { 1 } { 15 } - \frac { 4 } { 15 }
• \end{array} \right]\]
• C)​ \[\left[ \begin{array} { c c }
• \frac { 4 } { 15 } & - \frac { 1 } { 15 } \\
• - \frac { 1 } { 15 } & \frac { 4 } { 15 }
• \end{array} \right.\]
• D)​ \[\left[ \begin{array} { c c }
• - \frac { 4 } { 15 } & \frac { 1 } { 15 } \\
• \frac { 1 } { 15 } & - \frac { 4 } { 15 }
• \end{array} \right]\] ​
• E)​ \[\left[ \begin{array} { c c }
• \frac { 4 } { 15 } & 0 \\
• 0 & \frac { 4 } { 15 }
• \end{array} \right]\]

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