Answer:
|B|=-8
Step-by-step explanation:
[tex]B=\left(\begin{array}{ccc}2&0&1\\1&2&4\\1&2&2\end{array}\right)[/tex]
We are to determine the determinant of B, |B|.
[tex]|B|=\left|\begin{array}{ccc}2&0&1\\1&2&4\\1&2&2\end{array}\right|\\=2\left|\begin{array}{cc}2&4\\2&2\end{array}\right|-0\left|\begin{array}{cc}1&4\\1&2\end{array}\right|+1\left|\begin{array}{cc}1&2\\1&2\end{array}\right|[/tex]
[tex]=2(2X2-2X4)-0(2 X 1 - 4 X1) +1(2 X1- 2X1)\\=2(4-8)-0+2(2-2)\\=2(-4)=-8[/tex]
|B|=-8
