Let A = −2 2 1 −3 1 1 2 0 −1 and B = 2 −1 0 1 2 1 −1 −2 4 . Use the matrix-column representation of the product to write each column of AB as a linear combination of the columns of A.

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 =

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5/12, or 5: 12

step-by-step explanation: