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Anku posted an Question

March 22, 2021 • 03:42 am

30 points

IIT JAM
Mathematics (MA)

How to solve pls once show steps..

how to solve pls once show steps... .. .. . . . . .. .

2 Answer(s)

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Alka gupta

we can written LC of Pn(R).....see
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no mam it is not basis was given in answer key
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in this qus you asked only for LC....and yes we can write B2 as a linear combination of Pn(R)....B2 is LI also....but B2 can not span Pn(R) so thats why it is not form basis
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Deepak singh 1 Best Answer

Yes , Refer attached
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sir but ans is basis cant be formed
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wait .. I have shown elementwise .. let me check .
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sir what i assume is dimension of pn(R) Is n+1 and that of B2 is n hence linear combination not possible...
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sir can this be reason ..pls once tell
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yes , we can use this reason also..
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ok sir
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I think there is mistake in question that you have posted . Can you share question from where you have put up ?
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B2 can be expressed as linear combination of pn(R) but pn(R) can not be expressed as linear combination of B2 . because dim(B)=n is less than dim(pn(R) - this should be there .
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ok sir got it thanks a lot sir
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