Chapter D. C24
page. 353 Doing the computations by hand, find the determinant of the matrix below. \[\mathbf{X} = \left[\begin{array}
{rrr}
-2 & 3 & -2 \\
-4 & -2 & 1 \\
2 & 4 & 2
\end{array}\right]
\]
Solution:
=
\[\begin{matrix}
(-2)
\end{matrix}
\quad
\begin{vmatrix}
-2 & 1 \\
4 & 2
\end{vmatrix}
\quad
\begin{matrix}
(-1)(3)
\end{matrix}
\quad
\begin{vmatrix}
-4 & 1 \\
2 & 2
\end{vmatrix}
\quad
\begin{matrix}
(-2)
\end{matrix}
\quad
\begin{vmatrix}
-4 & -2 \\
2 & 4
\end{vmatrix}\]
Answer <- -2*(-2*2- 1*4) + -3*(-4*2- 1*2) + -2*(-4*4- -2*2)
Answer
## [1] 70