Find inverse of the matrix. $\left[ \begin{array} { l l l }
2 & 2 & 0 \
0 & 2 & 0 \
1 & 0 & 1
\end{array} \right]$
A) $\left[ \begin{array} { c c c }
2 & - 2 & 0 \
0 & 2 & 0 \
- 2 & 1 / 2 & 1
\end{array} \right]$
B) $\left[ \begin{array} { c c c }
2 & - 1 / 2 & 0 \
1 & 2 & 0 \
- 2 & 1 / 2 & 1
\end{array} \right]$
C) $\left[ \begin{array} { c c c }
1 & - 1 & 1 \
0 & 1 / 2 & 0 \
- 1 & 1 / 2 & 1
\end{array} \right]$
D) $\left[ \begin{array} { c c c }
1 / 2 & - 1 / 2 & 0 \
0 & 1 / 2 & 0 \
- 1 / 2 & 1 / 2 & 1
\end{array} \right]$

E) none

Question

Find inverse of the matrix. $\left[ \begin{array} { l l l } 
2 & 2 & 0 \
0 & 2 & 0 \
1 & 0 & 1
\end{array} \right]$
A) $\left[ \begin{array} { c c c } 
2 & - 2 & 0 \
0 & 2 & 0 \
- 2 & 1 / 2 & 1
\end{array} \right]$
B) $\left[ \begin{array} { c c c } 
2 & - 1 / 2 & 0 \
1 & 2 & 0 \
- 2 & 1 / 2 & 1
\end{array} \right]$
C) $\left[ \begin{array} { c c c } 
1 & - 1 & 1 \
0 & 1 / 2 & 0 \
- 1 & 1 / 2 & 1
\end{array} \right]$
D) $\left[ \begin{array} { c c c } 
1 / 2 & - 1 / 2 & 0 \
0 & 1 / 2 & 0 \
- 1 / 2 & 1 / 2 & 1
\end{array} \right]$

E) none

Quizplus · Accepted Answer

The inverse of a matrix can be found using various methods, including the adjugate method or Gaussian elimination. For this matrix, the correct inverse is given by option D, which can be verified by multiplying the original matrix by the inverse to get the identity matrix.

Find Inverse of the Matrix [220020101]\left[ \begin{array} { l l l } 2 & 2 & 0 \\0 & 2 & 0 \\1 & 0 & 1\end{array} \right]​201​220​001​​

Find Inverse of the Matrix $\left[ \begin{array} { l l l } 2 & 2 & 0 \\0 & 2 & 0 \\1 & 0 & 1\end{array} \right]$