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 2 years ago
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 twosided inverse. Therefore BA=I(Which is not obvious!).
 2 years ago
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 twosided inverse. Therefore BA=I(Which is not obvious!).

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mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1So what we have to do .. ?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1as given that A is n by n, rank(A) \(\le\) n and conversely : n = rank(\(I_n\))=rank(AB)\(\le\)rank(A)

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1got my point @mkumar441 ?

mkumar441
 2 years ago
Best ResponseYou've already chosen the best response.0yes i got it thank you for ur quick response

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1Your welcome dear.. also: \[\huge{\mathbb{WE}\textbf{LC}\mathcal{OME}\space\textit{TO OPENSTUDY}}\]

mkumar441
 2 years ago
Best ResponseYou've already chosen the best response.0i need small favour at wat timings do u present inorder post questions.

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1i didn't get you .. it seems that you are Indian. You can ask in Hindi?

mkumar441
 2 years ago
Best ResponseYou've already chosen the best response.0yes i am indian but i dont Hindi.When do you be in online inorder to clarifiy my doubts?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1ok 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
 2 years ago
Best ResponseYou've already chosen the best response.1lemme introduce you to some experts for your future help: experimentx mukushla Vaidehi09 amistre64 vishweshshrimali5 unklerhaukus and many more

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1just put @ sign before there names and they will be looking on your question as soon as possible.

mkumar441
 2 years ago
Best ResponseYou've already chosen the best response.0Another 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
 2 years ago
Best ResponseYou've already chosen the best response.1Post that as a new question and tag me there.. I will help you there
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