A solid in R3\mathbb{R}^3R3 has volume 333. It is transformed first by BBB, and the result is then transformed by A−1A^{-1}A−1, where
A=(201132012),B=(102020111)A = \begin{pmatrix} 2 & 0 & 1 \\ 1 & 3 & 2 \\ 0 & 1 & 2 \end{pmatrix}, \qquad B = \begin{pmatrix} 1 & 0 & 2 \\ 0 & 2 & 0 \\ 1 & 1 & 1 \end{pmatrix}A=210031122,B=101021201
What is the volume of the final solid?
Select all that apply.
545454
16\frac{1}{6}61
23\frac{2}{3}32
29\frac{2}{9}92