Numerical Linear algebra. Gram-Schmidt orthogonalization.

See attached file for full problem description.

Numerical Linear algebra. Vector spaces. Inner products.

Let V be the vector space of all complex valued polynomials defined over the half line [0,infinity). (a) Show that = integral from 0 to infinity of f(x) ( g(x) bar) e^-x dx is a complex inner product on V g(x) bar is g(x) with a bar on it, which I believe to be the conjugate. (b) Find an orthonormal set : {f_o, f_1} in V such that span{e_o,e_1} = span{f_o,f_1}, where e_o(x) = 1 and e_i(x) = x.

Investment, Time Value of Money, Etc.

Old Alfred Road, who is well-known to drivers on the Maine Turnpike, has reached his seventieth birthday and is ready to retire. Mr. Road has no formal training in finance but has saved his money and invested carefully. Mr. Road owns his home-the mortgage is paid off-and does not want to move. He is a widower, and he wants to bequeath the house and any remaining assets to his daughter. He has accumulated savings of $180,000, conservatively invested. The investments are yielding 9 percent interest. Mr. Road also has $12,000 in a savings account at 5 percent interest. He wants to keep the savings account intact for unexpected expenses or emergencies. Mr. Road's basic living expenses now ave... click for more

Budget

Overview River Beverages is a food and soft-drink company with worldwide operations. The company is organized into five regional divisions with each vice president reporting directly to the CEO, Cindy Wilkins. Each vice president has an R&D department, controller, and three divisions; carbonated drinks, juices and water, and food products. Management believes that the structure works well for River Beverages because different regions have different tastes and the division's products complement each other. River Beverages' companywide and divisional organization charts are shown here. Industry The US beverage industry has become mature with its growth matching population growth. In one... click for more

Matlab project. Numerical Linear Algebra.

Please see the attached file. This is for a Numerical Linear Algebra class. I was trying to modify the matlab built-in lutx function, by using for loops, but when I tested the results with my new function it didn't give the same results. I am still hoping that someone can help me. :(