Data Science for Engineers Week 2 NPTEL Assignment Answers 2025

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✅ Subject: Data Science for Engineers
📅 Week: 2
🎯 Session: NPTEL 2025 July-October
🔗 Course Link: Click Here
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NPTEL Data Science for Engineers Week 2 Assignment Answers 2025

1.

Answer : See Answers 

2. Does the set, S=(1,1),(1,2) spans R2?

  • Yes
  • No
Answer :

3. Consider the following system of linear equations of the form Ax=b:

                2x−3y+6z=14

                x+y−2z=−3

Which among the following are correct?

Answer :

Consider the following system of linear equation:
x+y+z=−2
x+2y−z=1
2x+ay+bz=2

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 :

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 :

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 : See Answers 

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

  • 0
  • 1
  • 2
  • 3
Answer :

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 :

9.

Answer :

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 :

11.

Answer : 

12.

Answer : 

13.

Answer :  See Answers 

NPTEL Data Science for Engineers Week 2 Assignment Answers 2024

1.

Answer :- b

2. Does the set, S={(1,1),(1,2)} spans R2?

  • Yes
  • No
Answer :- a

3. Consider the following system of linear equations of the form Ax=b:

2x−3y+6z=14
x+y−2z=−3
Which among the following are correct?

Answer :- c, d

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.

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.

Answer :- d

12.

Answer :- 2
Answer :- 0