Mathematical Methods of Physics-Matrices (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

MCQ▾

Question

A Equation matrix A has eigenvalues Equation andEquation . The smallest value of Equation such that Equation 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 matrixEquation . The eigenvalues of M are – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Mathematical Methods of Physics » Matrices

Appeared in Year: 2012

MCQ▾

Question

Given a Equation unitary matrix Equation satisfying Equation with Equation , one can construct a unitary matrix Equation with Equation from it by, (December)

Choices

Choice (4) Response

a.

Multiplying Equation by Equation

b.

Multiplying Equation by Equation

c.

Multiplying any single element of Equation by Equation

d.

Multiplying any row or column of Equation by Equation

Question number: 4

» Mathematical Methods of Physics » Matrices

Appeared in Year: 2012

MCQ▾

Question

The eigenvalues of anti-symmetric matrix, Equation where, Equation are the components of a unit vector, are – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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