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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


