NPTEL Data Science for Engineers Week 2 Assignment Answers 2025
1.
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2. Does the set, S=(1,1),(1,2) spans R2?
- Yes
- No
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3.
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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
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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
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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
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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.
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9.
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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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11.
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12.
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13.
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