IIT JAM
Krishna shukla Asked a Question
February 18, 2021 6:07 ampts 30 pts
  • IIT JAM
  • Mathematics (MA)

Please anyone prove this theorem and what is the mean of it.....

please anyone prove this theorem and what is the mean of it.....
  • 2 Answer(s)
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  • Krishna shukla
    in writing
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  • Krishna shukla
    will u please give its proof....
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  • Piyush
    Any doubt then you can ask
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  • Piyush Best Answer
    Proof is very simple. just apply A to x = alpha + t1a1+.....+tnan then it will give you x is solution of Ax =b.
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  • Krishna shukla
    and its proof
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  • Piyush thankyou
    In simple words this theorem says that if x* is solution of Ax=b Then all members of the coset x*+kernel(A) is solution of Ax=b
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