Find a Matrix a and a Column Matrix B That $$\mathrm { AB } = \left[ \begin{array} { r } 1272 \\1118 \\956\end{array} \right]$$

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.
-

A)
$$\mathrm { AB } = \left[ \begin{array} { r } 1272 \\1118 \\956\end{array} \right]$$
Tuition for Student 1 is $\$ 1272$ , tuition for Student 2 is $\$ 1118$ , and tuition for Student 3 is $\$ 956$ .
B)
$$\mathrm { AB } = \left[ \begin{array} { r } 892 \\1026\end{array} \right]$$
College A costs $\$ 892$ and College B costs $\$ 1026$ .
C)
$$\mathrm { AB } = \left[ \begin{array} { r } 1262 \\1088 \\951\end{array} \right]$$
Tuition for Student 1 is $\$ 1262$ , tuition for Student 2 is $\$ 1088$ , and tuition for Student 3 is $\$ 951$ .
D)
$$\mathrm { AB } = \left[ \begin{array} { r } 937 \\1140\end{array} \right]$$
College A costs $\$ 937$ and College B costs $\$ 1140$ .