10. Suppose A is the n x n zero matrix (where all entries of A are zero), describe the solution set of A =6

Can a matrix that has 0 entries for an entire row have one solution? Explain why or why not.

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.

Write the system of equations that corresponds to the augmented matrix: [111423181113] .

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.

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

Solve for x,y,z and w in the matrix equation wxyx=-432-1+2ywzx.

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.

Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]

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?