In order for a matrix A to have an inverse, its determinant cannot be zero. Derive the determinant of the following matrices:
A = $\left( \begin{array} { r r }
3 & 6 \
- 2 & 1
\end{array} \right)$ B = $\left( \begin{array} { r r r }
1 & - 1 & 2 \
1 & 0 & 3 \
4 & 0 & 2
\end{array} \right)$ X'X where X = (1 10)

Question

In order for a matrix A to have an inverse, its determinant cannot be zero. Derive the determinant of the following matrices:
A = $\left( \begin{array} { r r } 
3 & 6 \
- 2 & 1
\end{array} \right)$ B = $\left( \begin{array} { r r r } 
1 & - 1 & 2 \
1 & 0 & 3 \
4 & 0 & 2
\end{array} \right)$ X'X where X = (1 10)

Quizplus · Accepted Answer

The Answer of In order for a matrix A to have an inverse, its determinant cannot be zero. Derive the determinant of the following matrices:
A = $\left( \begin{array} { r r } 
3 & 6 \
- 2 & 1
\end{array} \right)$ B = $\left( \begin{array} { r r r } 
1 & - 1 & 2 \
1 & 0 & 3 \
4 & 0 & 2
\end{array} \right)$ X'X where X = (1 10)

In Order for a Matrix a to Have an Inverse (36−21)\left( \begin{array} { r r } 3 & 6 \\- 2 & 1\end{array} \right)(3−2​61​)

In Order for a Matrix a to Have an Inverse $\left( \begin{array} { r r } 3 & 6 \\- 2 & 1\end{array} \right)$