**NPTEL Data Science for Engineers Assignment 2 Answers 2022:-** All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

ALSO READ :-

NPTEL Exam Result 2022 | NPTEL Swayam Result Download

NPTEL Registration Steps [July – Dec 2022]

NPTEL Exam Pattern Tips & Top Tricks [2022]

## NPTEL Data Science for Engineers Assignment 2 Answers 2022 [July 2022]

**1. The trace of a 3 x 3 matrix A is 9. A has an eigenvalue 9 of multiplicity 2. Find the determinant of A.**

a. 27

b. -729

c. -162

d. 9

Answer:-a

**2. Which of the following vector sets is/are orthogonal?**

a) V1=[5−2 3]T,V2=[−2 4 6]T

b) V1=[1 0 −2]T,V2=[1 4 5]T

c) V1=[1 −2 4]T,V2=[2 5 2]T

d) V1=[1 −2 4]T,V2=[−1 4]T

- a)
- a) and c)
- b) and c)
- a), b), and c)

Answer:-a

**Answers will be Uploaded Shortly and it will be Notified on Telegram, So JOIN NOW**

**3. If A=[7645],then the value of |A5−A4| is**

a. 0

b. 6

c. 1

d. 5

Answer:-d

**4. The inverse of the matrix M=[1233695108] is**

Answer:-a

**5. Which of the following is true about orthonormal vectors?**

a. All orthonormal vectors are not orthogonal

b. All orthonormal vectors are orthogonal

c. Two vectors are orthonormal to each other if their dot product is 0

d. Orthonormal vectors are orthogonal vectors with unit magnitude

Answer:-b

**6. Which of the following sets of column vectors form a basis for R ^{4}?**

Answer:- c⎡⎣⎢⎢⎢1561114111212210141417112⎤⎦⎥⎥⎥[1511216110711214111412142]

👇**For Week 03 Assignment Answers**👇

**7. Let λ1=1 and λ2=2 be the eigenvalues, and v1=[2−2]T and v2=[31]T be the eigenvectors of a real matrix A. Let B be a projection matrix given as B=[v1v2]. Compute B−1AB.**

Answer:-a[2004][2004]

**8. How many solutions does the system of linear equations 15x+20y=25,21x+28y=35 have?**

a. Infinite solutions

b. No solution

c. Exactly one solution

d. Cannot be determined

Answer:-b

**9. Given the matrix [−31121214], the eigenvectors are**

Answer:-b [12]T,[−21]T[12]T,[−21]T

**10. Consider the matrix A=[−9383878−56658−3−5−9]. The columns of matrix A form a basis for the null space of another square matrix B. Find the rank of the matrix B.**

a. 3

b. 1

c. 2

d. 4

Answer:-c

**For More NPTEL Answers:- CLICK HERE****Join Our Telegram:- CLICK HERE**

## What is Data Science for Engineers?

Data Science for Engineers is a fun-filled course where Domain Certification helps learners to gain expertise in a specific Area/Domain. This can be helpful for learners who wish to work in a particular area as part of their job or research or for those appearing for some competitive exam or becoming job-ready or specialising in an area of study. Every domain will comprise Core courses and Elective courses. Once a learner completes the requisite courses per the mentioned criteria, you will receive a Domain Certificate showcasing your scores and the domain of expertise.

**CRITERIA TO GET A CERTIFICATE**

Average assignment score = 25% of the average of best 6 assignments out of the total 8 assignments given in the course.

Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

**YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF THE AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.**

COURSE NAME | ANSWER |

NPTEL Data Science for Engineers Assignment 1 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 2 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 3 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 4 Answers | NA |

NPTEL Data Science for Engineers Assignment 5 Answers | NA |

NPTEL Data Science for Engineers Assignment 6 Answers | NA |

NPTEL Data Science for Engineers Assignment 7 Answers | NA |

NPTEL Data Science for Engineers Assignment 8 Answers | NA |

**ALSO READ :-**

NPTEL Exam Result 2022 | NPTEL Swayam Result Download

NPTEL Registration Steps [July – Dec 2022]

NPTEL Exam Pattern Tips & Top Tricks [2022]

## NPTEL Data Science for Engineers Assignment 2 Answers [Jan 2022]

**Q1. If A is [7645][, then the value of |A ^{5}−A^{4}| is _________ **

(A) 6

(B) 5

(C) 0

(D)1

**Answer:- (C) 0**

**Q2. Which of the following sets of column vectors form a basis for R ^{4}?**

(A)

(B)

(C)

(D) None of the options

**Answer:- (A)**

**Q3. Determinant of the matrix M=**

** is ______________**

(A)348

(B) 353

(C) 340

(D) 345

**Answer:- (D) 345**

**Q4. Rank of the matrix M=⎡⎣⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢−18−36−63−363−9−63−4−8−14−8−6−2−1410203520−5535−12−24−42−24−8−6−4248148−1214⎤⎦⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥ is __________**

(A) 2

(B) 5

(C) 3

(D) 1

**Answer:- (A) 2**

**Q5. Given the matrix A=⎡⎣⎢633189955⎤⎦⎥, B=⎡⎣⎢186453⎤⎦⎥, C=[001005]. If D=CAB exists, then the value at D21 is**

(A) 517

(B) 525

(C) 528

(D) 531

**Answer:- (B) 525 **

**Q6. The system of linear equations y+31z+2ax=0,y+31z+32x=0 and 5y+155z+160x=0 has a non-trivial solution if a is __________**

(A) 17

(B) 16

(C) –

(D) 2 None of the options

**Answer:- (B) 16 **

**Q7. Given the matrix A=⎡⎣⎢⎢⎢1−3−22−3650−25−1−720−78⎤⎦⎥⎥⎥, the smallest eigen value of the matrix A is ___________**

(A) -6.41

(B) -0.48

(C) 3.63

(D) -8.31

**Answer:- (A) -6.41 **

**Q8. If A=⎡⎣⎢−8−8−6−8−7−9−6−7−4⎤⎦⎥ and B=⎡⎣⎢−6−42−4−3−21−9−8−56−7⎤⎦⎥, the rank of the matrix AB is ______________**

(A) 1

(B) 2

(C) 3

(D) None of the given options

**Answer:- (B) 2 **

**Q9. The trace of the 3×3 matrix A is 16. A has an eigenvalue 7 of multiplicity 2. Find the determinant of A.**

(A) 93

(B) 99

(C) 98

(D) 91

**Answer:- (C) 98 **

**Disclaimer**:- We do not claim 100% surety of solutions, these solutions are based on our sole expertise, and by using posting these answers we are simply looking to help students as a reference, so we urge do your assignment on your own.

**For More NPTEL Answers:- CLICK HERE**

**Join Our Telegram:- CLICK HERE**

**NPTEL Data Science for Engineers Assignment 2 Answers 2022:-** All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

## 6 thoughts on “NPTEL Data Science for Engineers Assignment 2 Answers 2022”