Find the inverse of the matrix. $\left[ \begin{array} { c c c }
1 & 0 & 5 \
1 & 1 & 5 \
- 5 & 1 & 1
\end{array} \right]$
A) $\left[ \begin{array} { c c c }
- 29 & 5 & - 5 \
- 1 & 1 & 0 \
6 & 1 & 1
\end{array} \right]$
B) $\left[ \begin{array} { c c c }
4 & \frac { 5 } { 26 } & - \frac { 5 } { 26 } \
1 & 1 & 0 \
\frac { 6 } { 26 } & - \frac { 1 } { 26 } & \frac { 1 } { 26 }
\end{array} \right.$
C) $\left[ \begin{array} { c c c }
- \frac { 4 } { 26 } & \frac { 5 } { 26 } & - \frac { 5 } { 26 } \
- 1 & 1 & 0 \
\frac { 6 } { 26 } & - \frac { 1 } { 26 } & \frac { 1 } { 26 }
\end{array} \right.$
D) $\left[ \begin{array} { c c c }
29 & 5 & - 5 \
- 1 & 1 & - 1 \
6 & - 1 & 1
\end{array} \right]$
E) $\left[ \begin{array} { c c c }
29 & 5 & - 5 \
- 1 & 1 & 1 \
6 & - 1 & 1
\end{array} \right]$

Question

Find the inverse of the matrix.   $\left[ \begin{array} { c c c } 
1 & 0 & 5 \
1 & 1 & 5 \
- 5 & 1 & 1
\end{array} \right]$  
A)  $\left[ \begin{array} { c c c } 
- 29 & 5 & - 5 \
- 1 & 1 & 0 \
6 & 1 & 1
\end{array} \right]$
B) $\left[ \begin{array} { c c c } 
4 & \frac { 5 } { 26 } & - \frac { 5 } { 26 } \
1 & 1 & 0 \
\frac { 6 } { 26 } & - \frac { 1 } { 26 } & \frac { 1 } { 26 }
\end{array} \right.$
C)  $\left[ \begin{array} { c c c } 
- \frac { 4 } { 26 } & \frac { 5 } { 26 } & - \frac { 5 } { 26 } \
- 1 & 1 & 0 \
\frac { 6 } { 26 } & - \frac { 1 } { 26 } & \frac { 1 } { 26 }
\end{array} \right.$
D)  $\left[ \begin{array} { c c c } 
29 & 5 & - 5 \
- 1 & 1 & - 1 \
6 & - 1 & 1
\end{array} \right]$
E)  $\left[ \begin{array} { c c c } 
29 & 5 & - 5 \
- 1 & 1 & 1 \
6 & - 1 & 1
\end{array} \right]$

Quizplus · Accepted Answer

The inverse of a matrix can be found using the formula involving the adjugate and determinant. After calculating, option C is the correct inverse.

Find the Inverse of the Matrix [105115−511]\left[ \begin{array} { c c c } 1 & 0 & 5 \\1 & 1 & 5 \\- 5 & 1 & 1\end{array} \right]​11−5​011​551​​

Find the Inverse of the Matrix $\left[ \begin{array} { c c c } 1 & 0 & 5 \\1 & 1 & 5 \\- 5 & 1 & 1\end{array} \right]$