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*:

2*x*−3*y*+6*z*=14 *x*+*y*−2*z*=−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 *x*1,*x*2,*x*3 and *x*4, 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*−21*a*+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**