Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mkumar441

please solve this ... suppose A and B are n by n matrices,and AB=I.prove from rank(AB)<=rank(A) that the rank of A is n . So A is invertible and B must be its two-sided inverse. Therefore BA=I(Which is not obvious!).

  • one year ago
  • one year ago

  • This Question is Closed
  1. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    So what we have to do .. ?

    • one year ago
  2. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    ok sorry wait

    • one year ago
  3. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    as given that A is n by n, rank(A) \(\le\) n and conversely : n = rank(\(I_n\))=rank(AB)\(\le\)rank(A)

    • one year ago
  4. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    got my point @mkumar441 ?

    • one year ago
  5. mkumar441
    Best Response
    You've already chosen the best response.
    Medals 0

    yes i got it thank you for ur quick response

    • one year ago
  6. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    Your welcome dear.. also: \[\huge{\mathbb{WE}\textbf{LC}\mathcal{OME}\space\textit{TO OPENSTUDY}}\]

    • one year ago
  7. mkumar441
    Best Response
    You've already chosen the best response.
    Medals 0

    i need small favour at wat timings do u present inorder post questions.

    • one year ago
  8. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    i didn't get you .. it seems that you are Indian. You can ask in Hindi?

    • one year ago
  9. mkumar441
    Best Response
    You've already chosen the best response.
    Medals 0

    yes i am indian but i dont Hindi.When do you be in online inorder to clarifiy my doubts?

    • one year ago
  10. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    ok i got you now: actually i am present here from 3:00 PM to 9:00 PM (Indian Standard Time_ or there may be breaks but yes: There are gr8 experts present you don't need to care for your clarification of doubts. In case, if your doubt is not answered then you can post the link of your question in the chat. or tag some people having good smart score....

    • one year ago
  11. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    lemme introduce you to some experts for your future help: experimentx mukushla Vaidehi09 amistre64 vishweshshrimali5 unklerhaukus and many more

    • one year ago
  12. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    just put @ sign before there names and they will be looking on your question as soon as possible.

    • one year ago
  13. mkumar441
    Best Response
    You've already chosen the best response.
    Medals 0

    Another question ..Suppose A is an m by n matrix of rank r.Its reduced echelon form is R. Describe exactly reduced row echelon form of R transpose (not A transpose).

    • one year ago
  14. mathslover
    Best Response
    You've already chosen the best response.
    Medals 1

    Post that as a new question and tag me there.. I will help you there

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.