Final answer:
To find the product matrix pq, multiply corresponding elements of the two matrices and add them.
Step-by-step explanation:
In order to find the product matrix, we multiply corresponding elements of the two matrices and add them. The product matrix will have the same number of rows as the first matrix and the same number of columns as the second matrix.
For the given matrices p and q, the product matrix pq is:
pq = (2* (-4) + 3* (-3) + 5* (-2), 2* (-1) + 3* (-8) + 5* (-9), 2* (-7) + 3* (-15) + 5* (-18)), (-17* (-4) + 0* (-3) + 4* (-2), -17* (-1) + 0* (-8) + 4* (-9), -17* (-7) + 0* (-15) + 4* (-18)), (-3* (-4) + 5* (-3) + 6* (-2), -3* (-1) + 5* (-8) + 6* (-9), -3* (-7) + 5* (-15) + 6* (-18))