Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. 1. show that if ?1 and ?2 are different eigenvalue

1. Show that if ?1 and ?2 are different eigenvalues of A and u1 and u2...

60.1K

Verified Solution

Question

Advance Math

1. Show that if ?1 and ?2 are different eigenvalues of A and u1and u2 are associated eigenvectors, then u1 and u2 are independent.More generally, show that if ?1, ..., ?k are distinct eigenvaluesof A and ui is an eigenvector associated to ?i for i=1, ..., k,then u1, ..., uk are independent.

2. Show that for each eigenvalue ?, the set E(?) = {u LaTeX:in?Rn: u is an eigenvector associated to ?} is a subspace ofRn.

Answer & Explanation Solved by verified expert
3.6 Ratings (286 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

Psychology
1.2K views

30-page research study on Ethical Leadership : The Past, Present and the Future

Basic Math
1.2K views

Consider the following data: 5, 0, 1, 3, 6, 3, 7, 11. Find the standard deviation. d)...

Biology
1.2K views

13 ESS Volcanoes and Mountains 1 If you assume that the Himalayas will continue to...

Basic Math
1.2K views

Find composite numbers that have the following characteristics: a. A number greater than 40 whose...

Algebra
1.2K views

Let S be the the ellipsoid given by the equation x + y + 6z...

Accounting
1.2K views

Please bold final answer and type the answer in the chart in the prob. thanks....

Accounting
1.2K views

10. Find the amount of a P42,000 ordinary annuity payable quarterly for 4 years. Money...

Accounting
1.2K views

Knowing the way from your bed to the bathroom in the dark 2. Speaking the...

Accounting
1.2K views

answer questions a, b & c correctly. i will thumbs up

Accounting
1.2K views

If accounting were a production system, a journal would be an output.If accounting were a...

Finance
1.2K views

Which of the following is not part of the balance sheet equation? Group of answer...

Finance
1.2K views

Your portfolio consists of 200 shares of CSH and 100 shares of EJH, which you...