**NPTEL Data Science for Engineers Assignment 2 Answers**:- Hello students in this article we are going to share NPTEL Data Science for Engineers assignment week 2 answers. All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

**Below you can find NPTEL Data Science for Engineers Assignment 2 Answers**

Assignment No. | Answers |
---|---|

Data Science for Engineers Assignment 1 | Click Here |

Data Science for Engineers Assignment 2 | Click Here |

Data Science for Engineers Assignment 3 | Click Here |

Data Science for EngineersAssignment 4 | Click Here |

Data Science for Engineers Assignment 5 | Click Here |

Data Science for Engineers Assignment 6 | Click Here |

Data Science for Engineers Assignment 7 | Click Here |

Data Science for EngineersAssignment 8 | Click Here |

### NPTEL Data Science for Engineers Assignment 2 Answers 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:-b

**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:-c

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

a. 0

b. 6

c. 1

d. 5

Answer:-a

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

Answer:-d

**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,c,d

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

Answer:- b

**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:-c

**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:-c

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

Answer:-d

**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

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