## NPTEL Data Science For Engineers Week 2 Assignment Answers 2024

1.

Answer :- b

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

- 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 :-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.

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.

Answer :-

12.

Answer :- 2

Answer :-Click Here