Find the inverse of the matrix $$\left[ \begin{array} { c c }
2 & 4 \
- 6 & - 10
\end{array} \right]$$ .
A) $$\frac { 1 } { 13 } \left[ \begin{array} { l l }
- 2 & - 4 \
- 6 & 10
\end{array} \right]$$
B) $$\left[ \begin{array} { c c }
- 2 & - 4 \
10 & 6
\end{array} \right]$$
C) $$\left[ \begin{array} { c c }
2 & - 6 \
8 & - 14
\end{array} \right]$$
D) $$\frac { 1 } { 7 } \left[ \begin{array} { c c }
2 & 4 \
- 6 & - 10
\end{array} \right]$$
E) $$\frac { 1 } { 2 } \left[ \begin{array} { c c }
- 5 & - 2 \
3 & 1
\end{array} \right]$$

Question

Find the inverse of the matrix $$\left[ \begin{array} { c c } 
2 & 4 \
- 6 & - 10
\end{array} \right]$$ .
A)​ $$\frac { 1 } { 13 } \left[ \begin{array} { l l } 
- 2 & - 4 \
- 6 & 10
\end{array} \right]$$
B)​ $$\left[ \begin{array} { c c } 
- 2 & - 4 \
10 & 6
\end{array} \right]$$
C)​ $$\left[ \begin{array} { c c } 
2 & - 6 \
8 & - 14
\end{array} \right]$$
D)​ $$\frac { 1 } { 7 } \left[ \begin{array} { c c } 
2 & 4 \
- 6 & - 10
\end{array} \right]$$
E)​ $$\frac { 1 } { 2 } \left[ \begin{array} { c c } 
- 5 & - 2 \
3 & 1
\end{array} \right]$$

Quizplus · Accepted Answer

The determinant of the matrix is zero, indicating it is singular and does not have an inverse. However, option E is the closest to a potential inverse if the matrix were not singular.

Find the Inverse of the Matrix [24−6−10]\left[ \begin{array} { c c } 2 & 4 \\- 6 & - 10\end{array} \right][2−6​4−10​]

Find the Inverse of the Matrix $\left[ \begin{array} { c c } 2 & 4 \\- 6 & - 10\end{array} \right]$