VU current papers 2026: what came in the exam

MTH641 . Time:12pm Mcqs mega file sy thy 70%.baki conceptual thy. Subjective k 4 questions mega file sy thy.. 3 short one long.baki conceptual thy. Overall paper easy tha.MTH641 . Time:12pm Mcqs mega file sy thy 70%.baki conceptual thy. Subjective k 4 questions mega file sy thy.. 3 short one… See more See less

Mcqs: mostly mega files Sy thy Short Questions: 1.ST=TS Assume product to self adjoint and prove commute.Assume product to cummute and prove self adjoint. 2.Define algebraic dual space. 3.write basis of N(T) 4.Define norm and inner product with space l^2. 5.Prove tha .norm Sy related Long questions: 1.Theorem:Let T:D(T)approaches to y be a linear operator……T is continuous then it is bounded. 2.Any sequence {Xn} of non zero orthogronal vector…..V is linearly independent. 3.show that (ST)= S*T 4.Theorem hi tha ..exact statement nhi yad HMcqs: mostly mega files Sy thy Short Questions: 1.ST=TS Assume product to self adjoint and prove commute.Assume product to… See more See less

Final Term paper (31-2025) Objective Approximately 80% from skill for study / Virtulain mathematican preparation video Subjective 1. Prove (S+T)* =S* + T* 2. Prove (ST)-¹ =T-¹ S-¹ 3. Prove L² is a linear functional 4. Define inner product space 5. prove <x,T*y>=<Tx,y> 6. Prove unitary is Matrix was given [1+i and 1-i] wala 7. Show that T is uniquely determined for y=Te for n basis vectors e¹,e²,…en are prescribed 8. Define Sum & scaler multiplication of dual 9. prove <x,ay>=a'<x,y> Note : Skill for study ki subjective, objective & current paper preparation video must dekhen and 27 pages wali fileFinal Term paper (31-2025) Objective Approximately 80% from skill for study / Virtulain mathematican preparation video Subjective… See more See less