Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let t,s : v ? w be two linear transformations, and

Let T,S : V ? W be two linear transformations, and suppose B1 = {v1,...,vn} andB2...

50.1K

Verified Solution

Question

Advance Math

Let T,S : V ? W be two linear transformations, and suppose B1 ={v1,...,vn} andB2 = {w1,...,wm} are bases of V and W,respectively.

(c) Show that the vector spaces L(V,W) and MatmĂ—n(F) areisomorphic. (Hint: the function MB1,B2 : L(V,W) ? MatmĂ—n(F) islinear by (a) and (b). Show that it is a bijection. A lineartransformation is uniquely specified by its action on a basis.)

need clearly proof

Answer & Explanation Solved by verified expert
4.3 Ratings (713 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

What are the Functions and physiology of the urinary system?

Medical Sciences
Q

Do you believe they have changed policies without the presence of damaging stories in the media?...

Operations Management
Q

In kinetic theory a gas of triatomic molecules can possibly have a higher internal energy...

Physics
Q

60 hrw8c11p55 A uniform thin rod of length 0 65 m and mass 3 5...

Physics
Q

A cement manufacturer has supplied the following data: Tons of cement...

Accounting
Q

Sparks Corporation has a cash balance of $16,500 on April 1. The company must maintain...

Accounting
Q

Find the tax liabilities based on the taxable income of the following people: A...

Accounting
Q

What are the three methods of calculating Pension Benefit Obligations? which does the FASB prefer?...

Accounting
Q

30. Carla and Bob finalized an adoption in 2019. Their adoption fees totaled $9,500....

Accounting
Q

Calculate the following: Total sales-quantity variances \begin{tabular}{ll} $5,600,000 & F \\ $(4,000,000) & F \\...

Accounting
Q

critically analyze the whole article in one page. discuss the purpose of the study, Research...

Accounting
Q

6. Problem 11.06 (NPV) Your division is considering two projects with the following cash flows...

Finance