0-21 5. [24 -1] 2 1 2 Express the matrix in Exercise 5 as a product of elementary matrices. 12. Express the matrix in Exercise 5 as a product of el ementary matrices.

Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the same for each product but varies by warehouse because of the distances involved. It costs $0.75 to distribute one unit from warehouse 1 and $1.00 to distribute one unit from warehouse 2. Organize these costs into a matrix C and then use matrix multiplication to compute the total cost of distributing each product.

Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]

Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be used to create a leading 1 at the top of the first column. Which do you prefer and why?