Find the inverse of the matrix.
-$$\left[ \begin{array} { l l l }
1 & - 1 & 8 \
1 & 0 & 2 \
2 & - 1 & 10
\end{array} \right]$$

A) $\left[ \begin{array} { l l l } 1 & 0 & 2 \ 0 & 1 & - 6 \ 0 & 0 & 0 \end{array} \right]$

B) $\left[ \begin{array} { c c c } 1 & 1 & 2 \ - 1 & 0 & - 1 \ 8 & 2 & 10 \end{array} \right]$

C) No inverse

D) $\left[ \begin{array} { l l l } 1 & 0 & 2 \ 0 & 1 & - 6 \ 0 & 7 & 0 \end{array} \right]$

Question

Find the inverse of the matrix.
-$$\left[ \begin{array} { l l l } 
1 & - 1 & 8 \
1 & 0 & 2 \
2 & - 1 & 10
\end{array} \right]$$

A) $\left[ \begin{array} { l l l } 1 & 0 & 2 \ 0 & 1 & - 6 \ 0 & 0 & 0 \end{array} \right]$

B) $\left[ \begin{array} { c c c } 1 & 1 & 2 \ - 1 & 0 & - 1 \ 8 & 2 & 10 \end{array} \right]$

C) No inverse

D) $\left[ \begin{array} { l l l } 1 & 0 & 2 \ 0 & 1 & - 6 \ 0 & 7 & 0 \end{array} \right]$

Quizplus · Accepted Answer

To determine if a matrix has an inverse, we need to check if its determinant is non-zero. The determinant of the given matrix is 0 (since the third row is a linear combination of the first two rows: $2 \times \text{Row 1} - \text{Row 2} = \text{Row 3}$). Therefore, the matrix does not have an inverse.

Find the Inverse of the Matrix [1−181022−110]\left[ \begin{array} { l l l } 1 & - 1 & 8 \\1 & 0 & 2 \\2 & - 1 & 10\end{array} \right]​112​−10−1​8210​​

Find the Inverse of the Matrix $\left[ \begin{array} { l l l } 1 & - 1 & 8 \\1 & 0 & 2 \\2 & - 1 & 10\end{array} \right]$