be two ordered bases for the vector space of continuous functions.

(a) Find [1]E, [cost]E , [cos2t]E , [cos3t]E , [cos4t]E , [cos5t]E , [cos6t]E .

(b) Use part (a) to show that F is a basis for S, the subspace of functions spanned by { 1, cost, cos2t , cos3t , cos4t , cos5t , cos6t }.

(c) Find the transition matrix T from basis E to basis F. (you can use your calculator)

(d) Recall from calculus that integrals such as

are tedious to compute. (you need to apply integration by parts repeatedly and use the half angle formula). Instead, use the transition matrix T or T-1 (which ever is appropriate) to compute the integral in an easier form.

#### Top Answer

Dear Student, Your assignment is received... View the full answer

### Recently Asked Questions

- In 2014, the company's fourth year of operations, destiny inc., a domestic corporation has the following financial data: business tax- 975,000 minimum

- Write a three to four (3-4) page paper in which you: Identify at least four (4) key points of a relevant economic article from either the Strayer Library or a

- Using the readings and your experience, discuss the following: Suppose you were hired as a "change consultant". (They really do exist!) What would be some of