Hello learners In this article we are going to discuss NPTEL Data Science for Engineers Assignment 2 Answers. All the Answers provided below to help the students as a reference, You must submit your assignment with your own knowledge and use this article as reference only.
About the course:-
Introduce R as a programming language
- Introduce the mathematical foundations required for data science
- Introduce the first level data science algorithms
- Introduce a data analytics problem solving framework
- Introduce a practical capstone case study
- Describe a flow process for data science problems (Remembering) Classify data science problems into standard typology (Comprehension Develop R codes for data science solutions (Application) Correlate results to the solution approach followed (Analysis Assess the solution approach (Evaluation) Construct use cases to validate approach and identify modifications required (Creating)
NPTEL Data Science for Engineers Assignment 2 Answers 2024:
1. Are the vectors [−24],[7−2] and [3−6] linearly independent?
Answer :- b
2. Does the set, S={(1,1),(1,2)} spans R2?
Answer :- a
3. Consider the following system of linear equations of the form Ax=b:
2x−3y+6z=14 x+y−2z=−3
Which among the following are correct?
Answer :- a,d
4. Find the conditions on a and b for which the above system has no solution.
Answer :- b
5. Find the conditions on a and b for which the above system has a unique solution.
Answer :- d
6. Find the conditions on a and b for which the above system has infite number of solutions.
Answer :- c
n solving the system Ax=b in the variables x1,x2,x3 and x4, Gaussian elimination on the Augmented matrix [A|b] led to the following row echelon form
7. Identify the number of free variable from the above rwo echelon matrix.
Answer :- b
8. Which among the following is correct for the above system Ax=b?
Answer :- a
9. For what values of a are matrix A=[a−21a+3] not invertible?
Answer :- b,c
10. Which among the following is true for the determinant of a matrix?
Answer:- a,c
11. Which among the following are the eigenvalues of matrix A=⎛⎝⎜54−481−4168−11⎞⎠⎟?
Answer:- d
12. Find the nullity of A=⎡⎣⎢110−3−30−21141−1⎤⎦⎥
Answer:- 2
13. Let A=⎡⎣⎢−122⎤⎦⎥. Suppose the eighen values corresponding to AAT are a,b and c, then find the value of ab+bc+ca
Answer:- b
