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: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Compare and contrast scanning tunneling microscopy (STM) and atomic force microscopy (AFM)? List at least two...

Chemistry
Q

Gyrate atrophy is a degeneration of the retina that begins in late adolescence as night blindness...

Biology
Q

Find at least the first four nonzero terms in a powerseries expansion about x = 0...

Advance Math
Q

What embryonic stage is used in the chimera studies we discussed in class A Morula...

Biology
Q

Exercise 1 Fill the spaces in the table with the appropriate pronoun Subject pronoun I...

Biology
Q

The formula for finding the area of a square is A s Transform this formula...

Geometry
Q

6 c 30 cm a 17 cm b 20 cm Cos 17 20 36 2...

Algebra
Q

Assume a local Cost Cutters provides cuts, perms, and hairstyling services. Annual fixed costs are...

Accounting
Q

Question 9 Not changed since last attempt Hobby Lobby Stores sold the following two machines...

Accounting
Q

Landmark buys $400,000 of Schroeter Company's 6%, 5-year bonds payable at par value on September...

Accounting
Q

Lavage Rapide is a Canadian company that owns and operates a large automatic car wash...

Accounting
Q

scrped units have a value of R40 each. There was no opening work in progress,...

Finance