Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. suppose v is finite-dimensional and s, t are opera

Suppose V is finite-dimensional and S, T are operators on V . Prove that ST is...

90.2K

Verified Solution

Question

Advance Math

Suppose V is finite-dimensional and S, T are operators on V .Prove that ST is bijective if and only if S and T are bothbijective.

Note: Don’t forget that bijective maps are precisely those thathave an inverse!

Answer & Explanation Solved by verified expert
4.0 Ratings (662 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

Q

Match the vocabulary word with its correct definition Watergate Impeach Three Mile Island a b...

Biology
Q

QUESTION: YOUR BANK HAS THE FOLLOWING BALANCE SHEET: Assets                                             Liabilities                          Reserves     $   50 million              Checkable deposits         $200 million Securities        50 million              Loans             150 million              Bank capital                     50 million IF...

Finance
Q

Create a portfolio using the three stocks and information below: Expected Return Standard Deviation Weight in Portfolio Stock A 6.00% 18.00% 31.00% Stock B 6.00% 29.00% 19.00% Stock...

Finance
Q

Marginal Incorporated (MI) has determined that its after-tax cost of debt is 10.0%. Its cost of...

Finance
Q

Question 1 What are some methods or practices to rationally and effectively discuss issues and resolve conflict?(What...

Operations Management
Q

Which power is correctly matched with the branch of government O judicial enforces laws O...

Biology
Q

Many colleges assign numerical points to grades as A 4 B 3 C 2 D...

Basic Math
Q

In a neighborhood 8/20 of the homes have waterfront views of a lake. What percentage...

Basic Math
Q

The angle is Simplify your answer Type an integer or a simplified fraction 9 B

Calculus
Q

The company estimates that its cost of capital is 13%. REQUIRED Study the information...

Accounting
Q

Data for M. Concord, interior decorator, are presented as follows. Jan. 2 3 Invested...

Accounting
Q

Assignment 10-1B Case Study: Bright White Paper Company Bright White Paper Company manufactures various types...

Accounting