Find the inverse of the matrix A, if it exists.
-$$A = \left[ \begin{array} { r r r }
8 & - 4 & 2 \
11 & - 7 & 4 \
3 & - 3 & 2
\end{array} \right]$$
A) $A ^ { - 1 }$ does not exist.
B) $$\text { } A ^ { - 1 } = \left[ \begin{array} { c c c }
\frac { 1 } { 8 } & \frac { 1 } { 11 } & \frac { 1 } { 2 } \
\frac { 1 } { 11 } & - \frac { 1 } { 7 } & \frac { 1 } { 4 } \
\frac { 1 } { 3 } & - \frac { 1 } { 3 } & \frac { 1 } { 2 }
\end{array} \right]$$
C) $A ^ { - 1 } = \left[ \begin{array} { c c c } \frac { 2 } { 11 } & \frac { 2 } { 11 } & - 2 \ \frac { 3 } { 11 } & \frac { 8 } { 7 } & 2 \ \frac { 8 } { 3 } & - \frac { 2 } { 3 } & \frac { 1 } { 2 } \end{array} \right]$
D) $\mathrm { A } ^ { - 1 } = \left[ \begin{array} { r r r } 8 & 11 & 3 \ - 4 & - 7 & - 3 \ 2 & 4 & 2 \end{array} \right]$

Question

Find the inverse of the matrix A, if it exists.
-$$A = \left[ \begin{array} { r r r } 
8 & - 4 & 2 \
11 & - 7 & 4 \
3 & - 3 & 2
\end{array} \right]$$
A) $A ^ { - 1 }$ does not exist.
B) $$\text {  } A ^ { - 1 } = \left[ \begin{array} { c c c } 
\frac { 1 } { 8 } & \frac { 1 } { 11 } & \frac { 1 } { 2 } \
\frac { 1 } { 11 } & - \frac { 1 } { 7 } & \frac { 1 } { 4 } \
\frac { 1 } { 3 } & - \frac { 1 } { 3 } & \frac { 1 } { 2 }
\end{array} \right]$$
C) $A ^ { - 1 } = \left[ \begin{array} { c c c } \frac { 2 } { 11 } & \frac { 2 } { 11 } & - 2 \ \frac { 3 } { 11 } & \frac { 8 } { 7 } & 2 \ \frac { 8 } { 3 } & - \frac { 2 } { 3 } & \frac { 1 } { 2 } \end{array} \right]$
D) $\mathrm { A } ^ { - 1 } = \left[ \begin{array} { r r r } 8 & 11 & 3 \ - 4 & - 7 & - 3 \ 2 & 4 & 2 \end{array} \right]$

Quizplus · Accepted Answer

The determinant of matrix A is 0, which means its inverse does not exist.

Find the Inverse of the Matrix A, If It Exists A=[8−4211−743−32]A = \left[ \begin{array} { r r r } 8 & - 4 & 2 \\11 & - 7 & 4 \\3 & - 3 & 2\end{array} \right]A=​8113​−4−7−3​242​​

Find the Inverse of the Matrix A, If It Exists $A = \left[ \begin{array} { r r r } 8 & - 4 & 2 \\11 & - 7 & 4 \\3 & - 3 & 2\end{array} \right]$