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Vijay posted an Question

May 30, 2021 • 17:33 pm

30 points

IIT JAM
Mathematics (MA)

Please send the solution to the problem given in the attachment.

please send the solution to the problem given in the attachment.

2 Answer(s)

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Sankit das

ans is b
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doubt
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I'm sorry. I have multiplied matrix in a wrong way. So option (b) could be wrong
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And I have reached till here. Is there any idea after that step??
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A
Abhishek tripathi 1

answer is a
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please correct your misstake there.
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sorry for mistake
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doubt
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I consider M1x=M2x (mod2) but I applied mod at last
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doubt
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doubt
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here mod2 is applied both sides this confusion is coming because framing of the question is not so good. and If two matrix are written as equal then corresponding entries have to be same so here i compare corresponding entries of both sides matrix i.e. first entry of left hand's matrix is compared with first entry of rihgt hand's matrix
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doubt
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doubt
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mod is a property of elements which applied in each elements it can't be cancelled. i.e. In group theory we study about the Zn (integer module n) here modn is applied everywhere while performing any operations we apply mod we can't cancel mod.
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first of all , M1 is not equal to M2. therefore M1*X is not equal to M2*X . Here question is not proper. Infact M1 is congruent to M2 ( mod 2) u can check it . Therefore M1*X is congruent to M2*X ( mod 2). And then proceed further
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T