Find the resulting vector when the vector <4, 1, 2> is multiplied by the matrix.[4 3 211 5 31 3 6

Ok, so
We're going to multiply:
[tex]\begin{bmatrix}{4} & 3{} & {2} \\ {1} & {5} & {3} \\ {1} & {3} & {6}\end{bmatrix}\begin{bmatrix}{4} & \\ {1} & {} \\ {2} & {}\end{bmatrix}[/tex]This is:
[tex]\begin{bmatrix}{4} & 3{} & {2} \\ {1} & {5} & {3} \\ {1} & {3} & {6}\end{bmatrix}\begin{bmatrix}{4} & \\ {1} & {} \\ {2} & {}\end{bmatrix}=\begin{bmatrix}{23} & \\ {15} & {} \\ {19} & {}\end{bmatrix}[/tex]