linear transformation dimension of vector space Linear Algebra engineering mathematics Gate 2020 cmi

[@iitjammathematics]

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.

[@hanumandukiya6243]

If I take matrix which first row 1,0and second row 0,0 then you prove that it is nilpotent

[@hanumandukiya6243]

If you not prove then option d is true and b is also true

[@hanumandukiya6243]

Gate walu ne answer diya h whi tum apne trike se jbrdsti shi kroge

[@hanumandukiya6243]

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