# NPTEL Data Science For Engineers Week 2 Assignment Answers 2024

## 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 :- 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`