2023 2024 Student Forum > Management Forum > Main Forum

 
  #2  
20th August 2014, 02:03 PM
Super Moderator
 
Join Date: Apr 2013
Re: University of Delhi MSc Mathematics entrance previous years paper

This is the University of Delhi MSc Mathematics entrance previous years paper:

3) Which one of the following is true?
A) There are in_nitely many one-one linear transformations from R4 to R3
B) The dimension of the vector space of all 3 _ 3 skew-symmetric matrices over
the _eld of real numbers is 6
C) Let F be a _eld and A a _xed n _ n matrix over F. If T : Mn(F) ! Mn(F) is
a linear transformation such that T(B) = AB for every B 2 Mn(F), then the
characteristic polynomial for A is the same as the characteristic polynomial
for T
D) A two-dimensional vector space over a _eld with 2 elements has exactly 3
di_erent basis.

5) The order of the automorphism group of Klein's group is
A) 3 B) 4 C) 6 D) 24.

(6) Which one of the following group is cyclic?
A) The group of positive rational numbers under multiplication

The logarithmic map from the multiplicative group of positive real numbers to the
additive group of real number is
A) a one-to-one but not an onto homomorphism
B) an onto but not a one-to-one homomorphism
C) not a homomorphism
D) an isomorphism.
University of Delhi MSc Mathematics entrance previous years paper





Rests of the questions are in the attachment, download it freely from here:


Quick Reply
Your Username: Click here to log in

Message:
Options

Thread Tools Search this Thread



All times are GMT +5. The time now is 09:42 PM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2024, vBulletin Solutions Inc.
SEO by vBSEO 3.6.0 PL2

1 2 3 4