anonymous
  • anonymous
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!).
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathslover
  • mathslover
So what we have to do .. ?
mathslover
  • mathslover
ok sorry wait
mathslover
  • mathslover
as given that A is n by n, rank(A) \(\le\) n and conversely : n = rank(\(I_n\))=rank(AB)\(\le\)rank(A)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

mathslover
  • mathslover
got my point @mkumar441 ?
anonymous
  • anonymous
yes i got it thank you for ur quick response
mathslover
  • mathslover
Your welcome dear.. also: \[\huge{\mathbb{WE}\textbf{LC}\mathcal{OME}\space\textit{TO OPENSTUDY}}\]
anonymous
  • anonymous
i need small favour at wat timings do u present inorder post questions.
mathslover
  • mathslover
i didn't get you .. it seems that you are Indian. You can ask in Hindi?
anonymous
  • anonymous
yes i am indian but i dont Hindi.When do you be in online inorder to clarifiy my doubts?
mathslover
  • mathslover
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....
mathslover
  • mathslover
lemme introduce you to some experts for your future help: experimentx mukushla Vaidehi09 amistre64 vishweshshrimali5 unklerhaukus and many more
mathslover
  • mathslover
just put @ sign before there names and they will be looking on your question as soon as possible.
anonymous
  • anonymous
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).
mathslover
  • mathslover
Post that as a new question and tag me there.. I will help you there

Looking for something else?

Not the answer you are looking for? Search for more explanations.