Answer:
AB =
Each column of AB is written as a linear combination of columns of Matrix A in the explanation below.
Step-by-step explanation:
A =
B=
We need to write each column of AB as a linear combination of the columns of A so we will multiply each column of A with each column element of B to get the column of AB. So,
AB Column 1 = 2 * + 1
+ (-1)
=
AB Column 2 = (-1) + 2
+ (-2)
=
AB Column 3 = (0) + (1)
+ 4
=
Finally, we can combine all three columns of AB to form the 3x3 matrix AB.
AB =