To find xy, we need to perform matrix multiplication of x and y. To do this, we take the dot product of each row of x with each column of y, as follows:
First row of x: (1 2 0 3)
First column of y:
(
2
1
4
3
)
Dot product of the first row of x with the first column of y:
1*2 + 2*1 + 0*4 + 3*3 = 2 + 2 + 9 = 13
This gives us the first element of the product matrix. We repeat this process for the remaining rows and columns to get:
xy =
(
1*2 + 2*1 + 0*4 + 3*3 1*1 + 2*4 + 0*3 + 3*2 1*4 + 2*3 + 0*2 + 3*1 1*3 + 2*2 + 0*1 + 3*4
0*2 + 3*1 + 1*4 + 2*3 0*1 + 3*4 + 1*3 + 2*2 0*4 + 3*3 + 1*2 + 2*1 0*3 + 3*2 + 1*1 + 2*4
)
=
(
13 11 10 17
11 19 13 14
)
Hence, xy = (107129). Therefore, the correct option is (A).