Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. *please show work and explain* prove that a vector

*Please show work and explain* Prove that a vector space V over a field F is...

50.1K

Verified Solution

Question

Advance Math

*Please show work and explain*

Prove that a vector space V over a field F is isomorphic to thevector space L(F,V) of all linear maps from F to V.

Answer & Explanation Solved by verified expert
3.8 Ratings (658 Votes)
Let VF be a vector space andV be set of all linear transformations T VRWe have to show V is sioorphic to VLet b1b2bn Define linear mapshiVR such thathibi1 andhibj0 when ijWe will show that h1h2hn is a basis forV    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Algebra
1.2K views

3 6 3x 2 0

Accounting
1.2K views

The following is a partial trial balance for the Green Star Corporation as of December 31, 2016:   Account...

Biology
1.2K views

51 What is the term for money that is given to candidates for any use...

Physics
1.2K views

1 Two slits are 1 mm apart and the screen is placed one metre away...

Basic Math
1.2K views

If all other quantities remain the same, how does the indicated change affect the width...

Basic Math
1.2K views

For a segment of a radio show, a disc jockey can play 5 records. If...

Algebra
1.2K views

Simplify the expression Write your answer with positive exponents only 20 2312 10x y Select...

Accounting
1.2K views

2/6 12 answer the first questions ...

Accounting
1.2K views

Required information The following information applies to the questions displayed below.j The following financial statements...

Accounting
1.2K views

QUESTION 8 "Imperfect Information" means that one of the parties in a transaction has less...

Accounting
1.2K views

Bright Minds Toy Company prepared the following sales budget for the second quarter, Projected sales...

Finance
1.2K views

In December 2015, Apple had cash of $ 37.87 billion, current assets of $ 76.62...