(Solved): 24. Express in matrix notation the following operations on these arrays of data: Matrix A gives th ...

24. Express in matrix notation the following operations on these arrays of data: Matrix A gives the amounts of raw material required to build different products; matrix \( \mathbf{B} \) gives the costs of these raw materials in two different countries; matrix \( \mathbf{C} \) tells how many of the products are needed to build two types of houses; and matrix \( \mathbf{D} \) gives the demand for houses in the two countries. (a) Compute the first row in the matrix product \( \mathbf{A B} \). (b) Which matrix product tells how much of the different items are needed to meet the demand for houses (types I and II combined) in the different countries? (c) Which matrix product gives the cost of building each type of house in each country? Ch. 2 Matrices (d) Which entry in what matrix product would give the total cost of building all homes in Spain? Note: If the rows and columns in a matrix must be interchanged in a product, indicate this by using the transpose of the matrix (transposes are not formally introduced until Section 2.4).