Algebra: Vector Spaces
Not what you're looking for?
Let V be the vector space of all functions f: R->R. Determine whether the following subsets of V form subspaces.
a) U = {f belongs to V | f(0) = 0}
b) W = {f belongs to V | f(x) = k1 + k2 sinx for some k1,k2 are reals}.
Purchase this Solution
Solution Summary
The solution verifies if a subset of a vector space is a subspace.
Solution Preview
a) U is a subspace of V iff for any f1,f2 in U => f1+f2 is in U and k f1 is in U, where k is a scalar.
If f1 is in U, then f1(0)=0
If f2is in U, then ...
Education
- BSc, University of Bucharest
- MSc, Ovidius
- MSc, Stony Brook
- PhD (IP), Stony Brook
Recent Feedback
- "Thank you "
- "Thank You Chris this draft really helped me understand correlation."
- "Thanks for the prompt return. Going into the last meeting tonight before submission. "
- "Thank you for your promptness and great work. This will serve as a great guideline to assist with the completion of our project."
- "Thanks for the product. It is an excellent guideline for the group. "
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.