Answer
$$-8.$$
Work Step by Step
$$
\left|\begin{array}{rrr}{1} & {2} & {1} \\ {4} & {-3} & {0} \\ {1} & {0} & {1}\end{array}\right|=\left|\begin{array}{rrr} {-3} & {0} \\ {0} & {1}\end{array}\right|-2\left|\begin{array}{rrr} {4} & {0} \\ {1} & {1}\end{array}\right|+\left|\begin{array}{rrr}{4} & {-3} \\ {1} & {0} \end{array}\right|\\
=-3-2(4)+3=-3-8+3=-8.
$$
