d). 1 0 0 0 1 6 -6 » e). 10 11 017 f). 10-5 01 1 0 1 000

What is the row-echelon form of a matrix? What is a leading entry?

Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.

We can add (or subtract) two matrices only if they have the same ______.

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.

If A and B are matrices and AB=0, msut |A|=0 or |B|=0? Explain.

Can a matrix whose entry is 0 on the diagonal be solved? Explain why or why not. What would you do to remedy the situation?

Can a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why not. For simplicity, assume a 22 matrix.

Can we add any two matrices together? If so, explain why; if not, explain why not and give an example of two matrices that cannot be added together.