Unit 1 - How to access the portal - Nptel

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Courses » Information Theory, Coding and Cryptography

Unit 1 - How to access the portal

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Course outline

How to access the portal

Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9

How to access the home page?

How to access the course page?

How to access the MCQ, MSQ and

Programming assignments?

Quiz : Assignment 0

Due on 2018-07-30, 23:59 IST.

1) 1 point

2) 1 point

3) 1 point

Assignment 0

The due date for submitting this assignment has passed.

As per our records you have not submitted this assignment.

For matrices A and B, pick the correct choice

(A + B)

^T

= A

^T

+ B T (aA)

^T

=aA T (AB)

^T

= B

^T

A

^T

All of the above

No, the answer is incorrect.

Score: 0

Accepted Answers:

All of the above

A matrix A is said to be invertible if there exists a matrix B such that

BA = AB = I B T A = AB T BA T =I

None of the above

No, the answer is incorrect.

Score: 0

BA = AB = I

The inverse of a square matrix A is denoted by A

^-1

where A -1 A-1 = I

A A-1 = I

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Funded by

Information Theory, Coding and Cryptography - ... https://onlinecourses.nptel.ac.in/noc18_ee39/un...

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4) 1 point

5) 1 point

6) 1 point

7) 1 point

8) 1 point

A A-1 = I

The column rank of A is the

number of linearly dependent column vectors in the matrix A number of linearly independent column vectors in the matrix A number of linearly dependent row vectors in a matrix A None of the above

No, the answer is incorrect.

Score: 0

number of linearly independent column vectors in the matrix A Hermitian of a matrix A is defined as

A H =(A)

^T

A H =(A-1)

^T

A H =(A

^*

)

^-1

A H =(A

^*

)

^T

No, the answer is incorrect.

Score: 0

A H =(A

^*

)

^T

For a unitary matrix U

U

^H

U=I

The rows, as well as the columns, of U form an orthogonal set

All eigenvalues have absolute value 1 All of the above

No, the answer is incorrect.

Score: 0

All of the above

Let X

₁

, X

₂

, . . . , X

_n

be continuous random variables with cumulative distribution functions F

₁

(x), F

₂

(x), . . . , F

_n

(x) and with density functions f

₁

(x), f

₂

(x), . . ., f

_n

(x) respectively. Then, these random variables are mutually independent if

F(x

₁

, x

₂

, . . . ,x

_n

) = F

₁

(x)F

₂

(x) . . . F

_n

(x) f(x

₁

, x

₂

, . . . , x

_n

) = f

₁

(x)f

₂

(x) . . . f

_n

(x) Both a and b

None of the above

No, the answer is incorrect.

Score: 0

Both a and b

The variance of a random variable X, with mean μ, is defined as

E[X]– μ

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9) 1 point

10) 1 point

E[X²]– (μ)² E[X²]+ (μ)² E[X²]

No, the answer is incorrect.

Score: 0

E[X²]– (μ)²

The Gaussian distribution is given by

No, the answer is incorrect.

Score: 0

Which of the following is a reference book for this course

R. Bose, Information theory, coding and cryptography, McGraw-Hill, 3

^rd

Edition, 2016.

T.M. Cover and J. A. Thomas, Elements of information theory, John Wiley & Sons, 2012 .

T. K. Moon, Error Correction Coding: Mathematical Methods and Algorithms, Wiley, 2005

All of the above

No, the answer is incorrect.

Score: 0

All of the above

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