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Harshal posted an Question

July 28, 2020 • 16:22 pm

30 points

IIT JAM
Mathematics (MA)

Value of lamda is

3 Answer(s)

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S
Shashi ranjan sinha

see the attachments
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sir , on putting lambda = 0 , we are getting rank 3
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Yes... I updated my answer
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Deepak singh 1

see attached , using determinant , lambda = some imaginary numbers
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Piyush pachauri

In 2nd equation , Is lemda-2 coefficient of y or independent.
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there is y
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ok, Let me try to get answer now.
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I don't think 0 & -3 is correct answer.
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There is no real solution.
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Deepak singh 1 Best Answer

see attached , lambda = some imaginary numbers ..
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two methods are there - first find determinant and let it be equal to zero . second method it's rank should be less than 3 ..
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yes it's homogeneous system of equation
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Put zero in place of h , detA is not zero
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yes piyush sir , there was mistake in previous ,
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I have updated my answer
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K
Kiran goswami

see
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this is a family of homogeneous equation, this type of family of lines always have a one solution which is (0,0,0). this system of lines have infinite solutions iff determinant of coefficient is 0.
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T