what is the product?

Answer:
[tex]\large\boxed{\left[\begin{array}{ccc}7\\4\\2\end{array}\right] }[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}3&6&1\\2&4&0\\0&6&2\end{array}\right] \times\left[\begin{array}{ccc}2\\0\\1\end{array}\right]\\\\=\left[\begin{array}{ccc}(3)(2)+(6)(0)+(1)(1)\\(2)(2)+(4)(0)+(0)(1)\\(0)(2)+(6)(0)+(2)(1)\end{array}\right] \\\\=\left[\begin{array}{ccc}6+0+1\\4+0+0\\0+0+2\end{array}\right] \\\\=\left[\begin{array}{ccc}7\\4\\2\end{array}\right][/tex]