Csir Net 16 September 2022 Linear Algebra Solution | Question ID 378 | Pure Mathematical Academy

[@saravana4217]

Excellent explanation sir

[@rajeshlahare3487]

Thank you so much sir 🙏🙏❤❤

[@soumyajitkundu7751]

Excellent explanation.

[@shamamasthani9842]

Very nice explanation...

[@mukeshkumarkaziana2989]

I think option c says that one pair of imaginary roots should thati is all roots should not be real 14:38

[@gauravtyagitv7538]

Yes you are correct

[@RUPINDERKAUR-qp8vl]

U and V ME y,z kis bases pr lyi hai ??

[@Ramanarajacademy1986]

Could you able to give what is the exact linear invertible transformation from T:R^3 to R^3 such that T(U)=V

[@puremathcsir2021]

Acc to my explainaton , take T(x,y,z)=(x-y , z , y/2 )

[@JL-uy8hz]

How do u construct the map T(1,0,0)=(1,0,0) is not clear. If we don't know the exact linear mapping then can we say that T(1,0,0)=(1,0,0). What is the criteria to write T(1,0,0)=(1,0,0)? Is it only L.I...? Means if T(U)=V then can the extended basis of U (i.e,Here basis of R3) always map extended basis of V(i.e, basis of R3 here) How do you know that T maps (1 0 0) to (1 00) as we don't calculate the mapping

[@saravana4217]

Yes You are correct But in exam hall we don't have enough time to find that transformation... That's why he took Linearly independent set maps to Linearly independent sets Hence it is one one as well as invertible....

[@hardikmishra3223]

Nice

[@deepikajind2245]

Second option me T(U) =V hogya kya