Mathematical Methods of PhysicsMatrices (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  4 of 5
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Question number: 1
» Mathematical Methods of Physics » Matrices
Appeared in Year: 2012
Question
A matrix A has eigenvalues and. The smallest value of such that is – (December)
Choices
Choice (4)  Response  

a.  20 

b.  60 

c.  30 

d.  120 

Question number: 2
» Mathematical Methods of Physics » Matrices
Appeared in Year: 2014
Question
Consider the matrix. The eigenvalues of M are – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Mathematical Methods of Physics » Matrices
Appeared in Year: 2012
Question
Given a unitary matrix satisfying with , one can construct a unitary matrix with from it by, (December)
Choices
Choice (4)  Response  

a.  Multiplying by 

b.  Multiplying by 

c.  Multiplying any single element of by 

d.  Multiplying any row or column of by 

Question number: 4
» Mathematical Methods of Physics » Matrices
Appeared in Year: 2012
Question
The eigenvalues of antisymmetric matrix, where, are the components of a unit vector, are – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

