Data Science for Engineers Week 2 NPTEL Assignment Answers 2025

NPTEL Data Science for Engineers Week 2 Assignment Answers 2025

4. Find the conditions on a and b for which the above system has no solution.

• 2a+b−6=0
• a≠4,2a+b−6=0
• a=4,b=−2
• 2a+b−6≠0

Answer :- b

5. Find the conditions on a and b for which the above system has a unique solution.

• 2a+b−6=0
• a≠4,2a+b−6=0
• a=4,b=−2
• 2a+b−6≠0

Answer :- d

6. Find the conditions on a and b for which the above system has infite number of solutions.

• 2a+b−6=0
• a≠4,2a+b−6=0
• a=4,b=−2
• 2a+b−6≠0

Answer :- c

7. Identify the number of free variable from the above rwo echelon matrix.

• 0
• 1
• 2
• 3

Answer :- b

8. Which among the following is correct for the above system Ax=b?

• It has infinite number of solutions.
• It has a unique solution.
• It has no solution.

Answer :- a

9.

• a=1
• a=−2
• a=−1
• a=2

Answer :- b, c

10. Which among the following is true for the determinant of a matrix?

• The determinant of a diagonal matrix is the product of its diagonal entries.
• If one row of a matrix is a scalar multiple of another, the determinant is 1.
• If one row of a matrix is a scalar multiple of another, the determinant is 0.
• The determinant of a permutation matrix can only be 1.

Answer :- a, c

11.

• 1,3,−3
• 1,3,3
• −1,3,3
• 1,−3,−3

Answer :- d

12.

• 9
• 0
• 81
• 18

Answer :- b