Mathematical Methods of Physics-Matrices (CSIR Physical Sciences): Questions 1 - 4 of 5

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 401 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

Question number: 1

» Mathematical Methods of Physics » Matrices

Appeared in Year: 2012

MCQ▾

Question

A 2×2 matrix A has eigenvalues eiπ5 and eiπ6 . The smallest value of n such that An=I 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

MCQ▾

Question

Consider the matrix M=(02i3i2i06i3i6i0) . The eigenvalues of M are – (June)

Choices

Choice (4) Response

a.

2,3,6

b.

5,2,7

c.

4i,2i,2i

d.

7,0,7

Question number: 3

» Mathematical Methods of Physics » Matrices

Appeared in Year: 2012

MCQ▾

Question

Given a 2×2 unitary matrix U satisfying U+U=UU+=1 with detU=eiφ , one can construct a unitary matrix V(V+V=VV+=1) with detV=1 from it by, (December)

Choices

Choice (4) Response

a.

Multiplying U by eiφ

b.

Multiplying U by eiφ2

c.

Multiplying any single element of U by eiφ

d.

Multiplying any row or column of U by eiφ2

Question number: 4

» Mathematical Methods of Physics » Matrices

Appeared in Year: 2012

MCQ▾

Question

The eigenvalues of anti-symmetric matrix, A=(0n3n2n30n1n2n10) where, n1,n2andn3 are the components of a unit vector, are – (June)

Choices

Choice (4) Response

a.

0,i,i

b.

0, 1,1

c.

0, 1,+i,1,i

d.

0, 0,0

f Page
Sign In