Updated: July 14th 2012
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61-2,4 cos|x|,|x|cube are diffble at o
dear IxI is not diffrentiable at x = 0.sEE basics KNOWLEDGE
mod(x) is not diff. at x=0. bcz at x=0 the graph of mod(x) has infinite tangents
77-option 3 may not be correct.
[0,1,0;0,0,0;0,0,0] has two eigen vector
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)
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.
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.
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
sir please send csir net june 2012 mathematics key for this mail
dear sam, did you want to say that [1.0,0] and [0,0,1] are linearly dependent.
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
dear sam ,though |x| is not differentiable but |x|^3 is differentiable. similarly x|x| is also differentiable.see tifr gs-2012 question please.
which book did you read IxI is diffrentiable at x==0
Mr sam even if |x| is not diffble at o,cos|x|,|x|cube are diffble at o use definition of diffentiation
oh my god first time i see great mathematician
yes IxI ^3 is diffrentiable bt not IxI at x=0
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
i agree with you. but then how 3 becomes true. 3 is only partially true
hai friends am mallikarjun… i was completed my nsc recently. pleas can u send csir mathenatics privios question papers to my mail malligaadu23@gmail.com please friendsssssssss…
Mr.sam who said as|x| is diffb at o.bt cos|x| isdiffble at o.
Mr.sam who said as|x| is diffb at o.bt cos|x| isdiffble at o……………….cos|x| is obously
diffble at o.
Randeep 77-3 tells that N has one non zeroEV it doesnt mean unique
please send me the question paper and answer key of csir net mathematical science june 2012
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any one tell me what is expect date for announce results and what is possible cut off.
Mathematics science CSIR net 2012 answer key pls
plz send me question paper and answer key of net hrm 2012
why the cut-off marks is so high for mathematics?i dont feel that question that too easy.is there any special formula to calculate the cut-off marks like GATE.