NPTEL Data Science for Engineers Assignment 2 Answers 2023? In this article we will discuss about the answers for Week 2 assignment of Data science for Engineers.  

Below you can find the answers for Data Science for Engineers Assignment 2 Answers 2023 

Also Read: NPTEL Data science for Engineers Assignment 1 Answers 2023

NPTEL Data Science for Engineers Assignment 2 Answers 2023

Q1. Does the set, S={(1,1),(1,2)} spans R^2?

a. Yes

b. No  

Answer: [ a ] yes

Q2. Find the rank of matrix 

                                          

a. 0

b. 1

c. 2

d. 3  

Answer: [d] Rank of matrix is 3.

Q3. Let M be a 2 × 2 matrix, with trace equal to 4 and determinant equal to 3. 

       Find the eigen values of M. 

a. -1, -3 

b. -1, 3

c. 1, -3

d. 1, 3 

Answer: [ d ]

Q4. Which of the following can be the eigen vector for the matrix 

 

    

Answer: [ b ]

Q5.

Suppose the eigen values corresponding to AA^T are a,b and c, then find the value of  ab+bc+ca. 

a. 9

b. 0

c. 81

d. 18

Answer: [ b ]  zero

Q6. Which among the following is true for an n×n matrix A? 

a. If λ is an eigen value of A, then 1/λ is an eigen value of A^−1. 

b. det(A^-1) = (det(A))^-1

c. Let B be an n*n matrix . Then det(AB)= det(A)det(B)

d. All the above

Answer: [ d ] all the above

Q7. Check if the following set of vectors are linearly independent. 

 

 a. Yes 

 b. No

Answer: [ b ] No

Q8. Consider the following system of linear equations. 

Choose the correct options from the following

a. It has Infinite number of solutions.

b. It has a Unique Solution

c. It has No Solution.

Answer: [ a ]  it has infinite number of solutions 

Q9. Which of the following set of vectors are orthogonal?

 

Answer: [ a ]

Q10. Suppose the eigen values of matrix A are -3, -4, -4, -3 the determinant of the matrix (A^-1)^T

         is

a. 0.06

b. -14

c. 0

d. 0.0069

Answer: [ d ] 0.0069 

Also Read: NPTEL Data science for Engineers Assignment 1 Answers 2023

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