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