Data Science for Engineers | Week 2
Course Name: Data Science for Engineers
Course Link: Click Here
These are NPTEL Data Science for Engineers Assignment 2 Answers
Q1. Does the set, S={(1,1),(1,2)} spans R2?
a. Yes
b. No
Answer: b. No
Q2. Find the rank of the matrix M= [124 235 369]
a. 0
b. 1
c. 2
d. 3
Answer: c. 2
Q3. Let M be a 2 × 2 matrix, with trace equal to 4 and determinant equal to 3. Find the eighen values of M.
a. −1, −3
b. −1, 3
c. 1, −3
d. 1, 3
Answer: d. 1, 3
These are NPTEL Data Science for Engineers Assignment 2 Answers
Q4. Which among the following can be the eigen vector for the matrix A=(12 43)?
a. [12]
b. [11]
c. [21]
d. [−11]
Answer: c. [21]
Q5. Let A=[−122]. Suppose the eighen values corresponding to AAT are a,b and c, then find the value of ab+bc+ca.
a. 9
b. 0
c. 81
d. 18
Answer: a. 9
Q6. Which among the following is true for an n×n matrix A?
a. If λ is an eighen value of A, then 1/λ is an eighen value of A−1.
b. det(A−1)= (det(A))−1
c. Let B be an n×n matrix. Then det(AB) = det(A)det(B)
d. All of the above
Answer: c. Let B be an n×n matrix. Then det(AB) = det(A)det(B)
These are NPTEL Data Science for Engineers Assignment 2 Answers
Q7. Check if the following set of vectors are linearly independent.
v1=[2−13], v2=[11−2], v3=[3−38]
a. Yes
b. No
Answer: a. Yes
Q8. Consider the following system of linear equations:
x1+2×2+3×3=1
2×1+5×2+7×3=2
2×1+4×2+6×3=2
Choose the correct options from the following:
a. It has infinite number of solutions.
b. It has a unique solution.
c. It has no solution.
Answer: b. It has a unique solution.
Q9. Which of the following set of vectors are orthogonal?
a. [1−1−2], [201]
b. [1−24], [−142]
c. [1−24], [−252]
d. [5−23], [−246]
Answer: a. [1−1−2], [201]
These are NPTEL Data Science for Engineers Assignment 2 Answers
Q10. Suppose the eighen values of matrix A are −3,−4,−4,−3, then the determinant of the matrix (A−1)T is
a. 0.06
b. -14
c. 0
d. 0.0069
Answer: d. 0.0069
* The material and content uploaded on this website are for general information and reference purposes only. Please do it by your own first. COPYING MATERIALS IS STRICTLY PROHIBITED.
These are NPTEL Data Science for Engineers Assignment 2 Answers
More Solutions of Data Science for Engineers: Click Here
More NPTEL Solutions: https://progiez.com/nptel/
More from PROGIEZ
