NBHM June 2005 Doctoral scholarship test | Mathematics

Описание: NBHM June 2005 Doctoral scholarship test | Mathematics



More videos :

Arbitrary intersection of closed sets in a metric space is closed.
Link :
   • Arbitrary intersection of closed sets in a...  

Arbitrary union of open sets in a metric space is open.
Link:    • Arbitrary union of open sets is open in me...  

Finite intersection of open sets in a metric space is open.
Link :    • A finite intersection of open sets in a me...  

The empty set is open in any metric space.
Link:    • In any metric space (X,d), the empty set i...  
----------------------------------------
Types of numbers. What are numbers?
   • Types of Numbers: Natural numbers, Integer...  
----------------------------------------
Differentiation of constant and identity function.
   • Differentiation of constant and identity f...  

Differentiation problems.
   • Differentiation problems using definition ...  
----------------------------------------
Limit question 1
   • Limit Question 1| Calculus #maths #educati...  

Limit question 2
   • Limit Question 2 | Calculus #calculus #mat...  

Limit question 3
   • Limit Question 3 | Calculus | Mathematics ...  

Limit question 4
   • Limit Question 4 | Calculus | Mathematics ...  

Limit question 5
   • Limit Question 5 | Calculus | Mathematics ...  

Limit question 6
   • Limit Question 5 | Calculus | Mathematics ...  
----------------------------------------
Number theory question 1    • Number Theory Question 1 | Mathematics #ma...  



Number Theory Question 2 :
   • Number Theory question 2 | Mathematics #ma...  

Number Theory question 3 :
   • Number Theory question 3 | Mathematics #nu...  
----------------------------------------
Matrix :
   • Matrix | Matrix Algebra | Mathematics #lin...  

Order of a Matrix:
   • Order of a matrix | Matrix Algebra | Mathe...  


Types of Matrices:
Zero matrix
   • Zero Matrix | Types of Matrices | Matrix A...  

Types of matrices Diagonal matrix :
   • Diagonal Matrix | Types of Matrices | Matr...  


   • Examples of Diagonal matrices | Types of m...  


Scalar matrix.    • Scalar Matrix | Types of Matrices | Matrix...  
-------------------------------------


Korean Mathematics competition 2001 :
   • Korean Mathematics Competition 2001 Proble...  

-------------------------------------
NBHM June 2005 Doctoral scholarship test :
   • NBHM June 2005 | Doctoral Scholarship Writ...  


   • NBHM June 2005 | Doctoral Scholarship Writ...  

   • NBHM June 2005 | Doctoral Scholarship Writ...  




NBHM question :
   • Which of the following are Gaussian primes...  



-------------------------------------
If T is a normal operator on X, then ||T(x) ||=||T*(x) ||, for all x in X

   • If T is a normal operator on X, then ||T(x...  




If T a normal operator on X, then T-aI is also normal for a in the field F.
   • If T is a normal operator on X, then T-aI ...  



Let X be a normal operator then T(x) =ax if and only if T*(x)=\bar(a) x.
   • Eigen values T and T* when T is normal ope...  


#maths #mathematics #calculus #education #linearalgebra #mathstricks #class12 #mathproblems #matrices #highermathematics #highereducation #highermaths #linearalgebra #algebra #polynomials #rootsofquadraticequation #gatemathematics #gatemaths #netmaths #iitjammathematicsonlineclasses #iitjam #nbhm #nbhmphd #numbertheory #numbers #ringtheory