Compute the product using the methods below If a product is

Compute the product using the methods below. If a product is undefined, explain why. The definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights. The row-vector rule for computing Ax. Set up the linear combination of the columns of A using the corresponding entries in x as weights. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.

Solution

What you have done seems correct.I cant see option B complete , its hidden.

c11 = 6 x 2 + 3 x (-5) = -3

c21 = -5 x 2 + (-4) x (-5) = 10

c31 = 5 x 2 + 4 x (-5) = -10

Result would be a 3 x1 matrix