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there is some mistake in option (d) when we consider a matrix [1 1 0 ] of size 2x2 having rank 1 and nullity 1 but option (d) seems false.
If I take matrix which first row 1,0and second row 0,0 then you prove that it is nilpotent
If you not prove then option d is true and b is also true
Gate walu ne answer diya h whi tum apne trike se jbrdsti shi kroge
Bs saru ne ek hi matrix rt rkhi h 01and second row 00 hence nilpotent kbhi first row ko 10 leke dekho na phir btawo nilpotent h yha nhi
there is some mistake in option (d) when we consider a matrix [1 1 0 ] of size 2x2 having rank 1 and nullity 1 but option (d) seems false.
If I take matrix which first row 1,0and second row 0,0 then you prove that it is nilpotent
If you not prove then option d is true and b is also true
Gate walu ne answer diya h whi tum apne trike se jbrdsti shi kroge
Bs saru ne ek hi matrix rt rkhi h 01and second row 00 hence nilpotent kbhi first row ko 10 leke dekho na phir btawo nilpotent h yha nhi