What is the best order to form the product ABC if A, B, and C are matrices with dimensions 3 × 9. 9 × 4. and 4 × 2. respectively?

Solution Step 1 In this problem, we have to find the best order to form the product ABC where A, B, and D are the matrices. Let us assume that a matrix A of order 3 × 9, matrix B of order 9 × 4 and matrix C of order 4 × 2 respectively. So, we have to use the multiplication property of matrices a × b and b × c is abc. Hence, we have few achievable condition to find the best order to form the product ABC(AB)CA(BC)(AC)BB(AC)C(AB)(BC)A Now, we have to compute a number of ways of multiplication.