Jul 10

# Answer Key CSIR NET Mathematical Sciences (Maths) June 2012

Updated: July 14th 2012
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1. Balu says:

61-2,4 cos|x|,|x|cube are diffble at o

1. sam says:

dear IxI is not diffrentiable at x = 0.sEE basics KNOWLEDGE

1. iqbal says:

mod(x) is not diff. at x=0. bcz at x=0 the graph of mod(x) has infinite tangents

2. ranadip ganguly says:

77-option 3 may not be correct.
[0,1,0;0,0,0;0,0,0] has two eigen vector

3. virender says:

yes i m agree with ranadip ganguly for 77 quest. , infact given matrix has two eigen vectors viz (1,0,0) and (0,0,1)

4. veerendra says:

but for each matrix N if we have two eigen vectors then only we can say option 3 is not correct. as i have checked for some matrices, it is always having two eigen vectors.

1. ranadip ganguly says:

only nilpotent matrix which is similar to a diagonalizable is o matrix.see wikipedia.
so 2 is not correct.
if 4 is correct then diterminant of the diagonalized matrix is non zero. so |N| is nonzero. contradiction.

5. sam says:

i think all of them didnt knowledge of mathematics ,dear matrix is nilpotent so all its eigen value is zero.means only one distinct eigen value say 0.so each distinct eigen value their correpond one L.I eigen vector ,so 77 part c is correct

6. kiran kumar says:

sir please send csir net june 2012 mathematics key for this mail

7. ranadip ganguly says:

dear sam, did you want to say that [1.0,0] and [0,0,1] are linearly dependent.

1. sam says:

dear why u choose two independant eigen vector,do you know each distinct eigen value correponds one independant eigen vector.and we have only one distince eigen value say 0

8. ranadip ganguly says:

dear sam ,though |x| is not differentiable but |x|^3 is differentiable. similarly x|x| is also differentiable.see tifr gs-2012 question please.

1. sam says:

which book did you read IxI is diffrentiable at x==0

9. Balu says:

Mr sam even if |x| is not diffble at o,cos|x|,|x|cube are diffble at o use definition of diffentiation

1. sam says:

oh my god first time i see great mathematician

2. sam says:

yes IxI ^3 is diffrentiable bt not IxI at x=0

10. Balu says:

77)1,3-N is singularmatrix &has o as only eigenvalue. If rankNN is is1 then there are 2 LI eigenvectors.If rankN is 2 there is 1 eigenvector

1. ranadip ganguly says:

i agree with you. but then how 3 becomes true. 3 is only partially true

1. mallikarjun says:

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11. Balu says:

Mr.sam who said as|x| is diffb at o.bt cos|x| isdiffble at o.

1. Aziz says:

Mr.sam who said as|x| is diffb at o.bt cos|x| isdiffble at o……………….cos|x| is obously
diffble at o.

12. Balu says:

Randeep 77-3 tells that N has one non zeroEV it doesnt mean unique

13. praveen kumar says:

please send me the question paper and answer key of csir net mathematical science june 2012

14. k.srikanth says:

please send me 2012 june mathematical science question paper and key.

15. debasish datta says:

math june 2012 answer key plz . mobile 09436516990

16. Manoj Kumar says:

any one tell me what is expect date for announce results and what is possible cut off.

17. radhika thakur says:

Mathematics science CSIR net 2012 answer key pls

18. Sharn says:

plz send me question paper and answer key of net hrm 2012