Find the inverse of the matrix.
-$\left[ \begin{array} { l l l } 1 & 0 & 8 \ 1 & 2 & 3 \ 2 & 5 & 3 \end{array} \right]$

A) $\left[ \begin{array} { r r r } 9 & - 40 & 16 \ - 3 & 13 & - 5 \ - 1 & 5 & - 2 \end{array} \right]$

B) $\left[ \begin{array} { r r r } - 1 & 0 & - 8 \ - 1 & - 2 & - 3 \ - 2 & - 5 & - 3 \end{array} \right]$

C) $\left[ \begin{array} { l l l } 1 & 1 & 2 \ 0 & 2 & 5 \ 8 & 3 & 3 \end{array} \right]$

D) No inverse

Question

Find the inverse of the matrix.
-$\left[ \begin{array} { l l l } 1 & 0 & 8 \ 1 & 2 & 3 \ 2 & 5 & 3 \end{array} \right]$

A) $\left[ \begin{array} { r r r } 9 & - 40 & 16 \ - 3 & 13 & - 5 \ - 1 & 5 & - 2 \end{array} \right]$

B) $\left[ \begin{array} { r r r } - 1 & 0 & - 8 \ - 1 & - 2 & - 3 \ - 2 & - 5 & - 3 \end{array} \right]$

C) $\left[ \begin{array} { l l l } 1 & 1 & 2 \ 0 & 2 & 5 \ 8 & 3 & 3 \end{array} \right]$

D) No inverse

Quizplus · Accepted Answer

To find the inverse of a matrix, one typically uses the formula $A^{-1} = \frac{1}{\text{det}(A)} \text{adj}(A)$, where $\text{det}(A)$ is the determinant of the matrix $A$ and $\text{adj}(A)$ is the adjugate of $A$. The determinant of the given matrix is non-zero, which means the matrix is invertible. Calculating the inverse manually or using a calculator/software that supports matrix operations will yield the matrix in option A as the correct inverse.

Find the Inverse of the Matrix [108123253]\left[ \begin{array} { l l l } 1 & 0 & 8 \\ 1 & 2 & 3 \\ 2 & 5 & 3 \end{array} \right]​112​025​833​​

Find the Inverse of the Matrix $\left[ \begin{array} { l l l } 1 & 0 & 8 \\ 1 & 2 & 3 \\ 2 & 5 & 3 \end{array} \right]$