Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let v be a vector space of dimension 1 over a fiel

Let V be a vector space of dimension 1 over a field k and choose a...

50.1K

Verified Solution

Question

Advance Math

Let V be a vector space of dimension 1 over a field k and choosea fixed nonzero element voe V, which is therefore a basis. Let W beany vector space over k and let woe W be an arbitrary vector. Showthat there is a unique linear transformation T: V ? W such thatT(v)= wo. [Hint: What must T(Avo) be?)

Answer & Explanation Solved by verified expert
4.0 Ratings (799 Votes)
    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

Finance
1.2K views

What reasons are not suitable for using Cost Benefit Analysis as a decision making tool for...

Psychology
1.2K views

CASE A complaint of sexual harassment by a part-time worker in a hardware business was upheld when...

Physics
1.2K views

mathongo mathongo mathango Amathonge Q9 27 July 2021 Shift 2 The expected graphical representation of...

Geometry
1.2K views

Based on the table below x 0 f x 23 Evaluate f 7 f 7...

Calculus
1.2K views

certain state pickup trucks account for 28 of the state s registered ve ted at...

Algebra
1.2K views

n 1 6 10 10 19 2 1 5 2 5 2 6 15 statements...

Algebra
1.2K views

5 x 25 x 8x 15

Accounting
1.2K views

How much does the profit in the following example change (in %) when you increase...

Accounting
1.2K views

Discuss how Standardization can reduce administrative costs?

Accounting
1.2K views

Chapter 9 Quiz Help Save & Exi Check After planning to build a new plant,...

Accounting
1.2K views

Flint Company uses the gross profit method to estimate inventory for monthly reporting purposes. Presented...

Finance
1.2K views

Based on the scenario information, what are the projected revenues for Foot Locker in 2023?...