# NPTEL Data Science for Engineers Assignment 2 Answers 2022 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

### 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=,then the value of |A5−A4| is

a. 0
b. 6
c. 1
d. 5

`Answer:-  a`

4. The inverse of the matrix M=  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 R4?

`Answer:- b`

7. Let λ1=1 and λ2=2 be the eigenvalues, and v1=[2−2]T and v2=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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