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

1.

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2.

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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

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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 :-

- a=1
- a=−2
- a=−1
- a=2

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.

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- 1,3,−3
- 1,3,3
- −1,3,3
- 1,−3,−3

Answer :-

Answer :-

- 9
- 0
- 81
- 18

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