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mkumar441 Group Title

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!).

  • 2 years ago
  • 2 years ago

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  1. mathslover Group Title
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    So what we have to do .. ?

    • 2 years ago
  2. mathslover Group Title
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    ok sorry wait

    • 2 years ago
  3. mathslover Group Title
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    as given that A is n by n, rank(A) \(\le\) n and conversely : n = rank(\(I_n\))=rank(AB)\(\le\)rank(A)

    • 2 years ago
  4. mathslover Group Title
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    got my point @mkumar441 ?

    • 2 years ago
  5. mkumar441 Group Title
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    yes i got it thank you for ur quick response

    • 2 years ago
  6. mathslover Group Title
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    Your welcome dear.. also: \[\huge{\mathbb{WE}\textbf{LC}\mathcal{OME}\space\textit{TO OPENSTUDY}}\]

    • 2 years ago
  7. mkumar441 Group Title
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    i need small favour at wat timings do u present inorder post questions.

    • 2 years ago
  8. mathslover Group Title
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    i didn't get you .. it seems that you are Indian. You can ask in Hindi?

    • 2 years ago
  9. mkumar441 Group Title
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    yes i am indian but i dont Hindi.When do you be in online inorder to clarifiy my doubts?

    • 2 years ago
  10. mathslover Group Title
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    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....

    • 2 years ago
  11. mathslover Group Title
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    lemme introduce you to some experts for your future help: experimentx mukushla Vaidehi09 amistre64 vishweshshrimali5 unklerhaukus and many more

    • 2 years ago
  12. mathslover Group Title
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    just put @ sign before there names and they will be looking on your question as soon as possible.

    • 2 years ago
  13. mkumar441 Group Title
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    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).

    • 2 years ago
  14. mathslover Group Title
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    Post that as a new question and tag me there.. I will help you there

    • 2 years ago
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