Give an example of a nonsingular matrix whose Gershgorin domain contains zero.

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?

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.

Determine if the statement is true or false. If the statement is false, then correct it and make it true. Every matrix has a unique reduced row-echelon form.

Determine if the statement is true or false. If the statement is false, then correct it and make it true. A 75 matrix has 5 rows.