Question

if `A = [(3,5),(4,-2)] and B = [(2),(4)]`is the product AB possible? Give a reason. If yes, find AB

Answer 1

Yes, product AB is possible since the number of columns of matrix A is equal to the number of rows of matrix B. (Matrix A is of the order 2 × 2 and B is of the order of 2 × 1)

Thus, required product AB = `[(3,5),(4,-2)][(2),(4)] = [(6 + 20),(8-8)] = [(26),(0)]`