Consider the linear transformations, $T_A: \mathbb{R}^3 \to \mathbb{R}^3$ be $T_A(x, y, z) = (10x + y, x + z, 10z)$ and $T_B(x, y, z) = (x + 10y, -x + 7z, y)$. Write the standard matrices of each of these transformations.
A=
B=
Find the composition of the two transformations expressed as a matrix: C=
Find $(T_A \circ T_B) \begin{pmatrix} 10 \ 3 \ -2 \end{pmatrix} = $