Tuesday

July 22, 2014

July 22, 2014

Posted by **Tri N** on Sunday, March 6, 2011 at 2:14pm.

x O+ ( +signal into circle) y=x.y (definition of vector addition) & c O ( dot signal into circle) x = x^c (definition of scalar multiplcation) ( must verify that all 10 axioms defining a vectorspace are satisfied).

2/ Consider the vector space V = C (-infinite,infinite)= all fumctions f(x) which are continuous everywhere. Show that the following subset H of C (-infinite, infinite) is in fact a subspace of C (-infinite,infinite):

H= {all functions f(x) satisfying the differential equation f " (x) +25 f(x)=0}

(need to verify all 3 subspace requirements)

**Related Questions**

Linear Algebra - Prove that If a vector space is of dimension n and a set of ...

algebra - 1 Solve the set of linear equations by the matrix method : a+3b+2c=3...

math proof - how can i prove that for any set of real numbers, there is at least...

COLLEGE ALGEBRA - Suppose that R is the set of real numbers. Let f: R--> R be...

ALGEBRA - Suppose that R is the set of real numbers. Let f: R--> R be defined...

ALGEBRA - Suppose that R is the set of real numbers. Let f: R--> R be defined...

ALGEBRA - Suppose that R is the set of real numbers. Let f: R--> R be defined...

Linear Algebra - Find the basis for the following vector space. Please state ...

Algebra - 28. Use the Distributive Property to simplify x(4x^2 + x + 4) Is it 4x...

science - 1 What is a set of real or complex numbers or elements arranged in ...