f) Consider a linear control process x' = Ax + Bu, where A is a nxn and B is a nxm real matrix, x in R^(n), u in R^(m). f) When do you say that this system is locally null controllable? g) When do you say that this system is globally null controllable? g) State kalman's theorem about local null controllability.

Explain the differences between Gaussian elimination and Gauss-Jordan elimination.

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.