Data Science for Engineers | Week 2

Course Name: Data Science for Engineers

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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


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These are NPTEL Data Science for Engineers Assignment 2 Answers

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These are NPTEL Data Science for Engineers Assignment 2 Answers