Numerical Linear algebra. Gram-Schmidt orthogonalization.

See attached file for full problem description.

Vector Spaces of Complex Valued Polynomials, Complex Inner Products and Orthonormal Sets

Let V be the vector space of all complex valued polynomials defined over the half line [0,infinity). (a) Show that = ∫ 0-->∞ 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 ...continues

Investment, Time Value of Money, Savings and Interest

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 b ...continues

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 f ...continues

Matlab : Lutx Function

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. Please see the attached file for the fully formatted problems.

Accounting

Les Fleurs, a boutique in Paris, France, had the following accounts in its accounting records at December 31, 20X2 (amounts in Euros, denoted as "E") Purchases………………... E250,000 Freight In……………… E8,000 Sales discounts…………. 4,000 Purchase returns…….. 7,000 Inventory Sales…………………. 400,000 December 31, 20X1….. 20 ...continues

Financial Accounting : Coupons, Non-callable and Callable Bonds

O'Meara, Inc plans to issue $6 million of perpetual bonds. The face value of each bond is $1000. The semi-annual coupon on the bonds is 4.5%. Market interest rate on one-year bonds are 8%. With equal probability, the long term market interest rate will be either 12% or 6% next year. Assume investors are risk-neutral. A. If th ...continues

Financial accounting

A corporation has contracted to provide lease financing for a machine to automate an assembly line. Annual lease payments will start at the beginning of each year. The purchase price of this machine is $250,000.00, and it will leased for five years. They will utilize straight line depriciation of $50,000.00 per year with a ze ...continues

Uniqueness of a Reflector

Show that if Qx=y, where Q= I- ruu^T (r can be denoted as gamma) , then u must be a multiple of x-y. In other words, prove the uniqueness of reflector Q.

Quadratic equations

1. When solving a quadratic equation using the quadratic formula, it is possible for the b2 - 4ac term inside the square root (the discriminant) to be negative, thus forcing us to take the square root of a negative number. The solutions to the equation will then be complex numbers (i.e., involve the imaginary unit i). Questi ...continues