NPTEL Data Science For Engineers Week 2 Assignment Answers 2024

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NPTEL Data Science For Engineers Week 2 Assignment Answers 2024

1.

image 78
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?

image 79
Answer :- Click Here

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 :- Click Here

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 :- 

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

  • 0
  • 1
  • 2
  • 3
Answer :- Click Here

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.

image 80
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 :- Click Here

11.

image 81
Answer :- 

12.

image 82
Answer :- 2
image 84
Answer :- Click Here
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