NPTEL Data Science for Engineers Week 5 Assignment Answers 2024

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NPTEL Data Science for Engineers Week 5 Assignment Answers 2024

1. Which of the following statements is/are not TRUE with respect to the multi variate optimization?

I – The gradient of a function at a point is parallel to the contours
II – Gradient points in the direction of greatest increase of the function
III – Negative gradients points in the direction of the greatest decrease of the function
IV – Hessian is a non-symmetric matrix

  • I
  • II and III
  • I and IV
  • III and IV
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2. The solution to an unconstrained optimization problem is always the same as the solution to the constrained one.

  • True
  • False
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3. Gradient based algorithm methods compute

  • only step length at each iteration
  • both direction and step length at each iteration
  • only direction at each iteration
  • none of the above
Answer :- For Answer Click Here 
NPTEL Data Science for Engineers Week 5 Assignment Answers 2024
Answer :- 

5. Which among the following is the stationary point for f(x1,x2)?

  • (0, 0)
  • (1, −1)
  • (−1, −1)
  • (−1, 1)
Answer :- 

6. Find the eighen values corresponding to Hessian matrix of f.

  • 1, −1
  • 1, 1
  • 2, 8
  • 0, 2
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7. Find the minimum value of f.

  • 0
  • −5
  • −1
  • 1
Answer :- 
NPTEL Data Science for Engineers Week 5 Assignment Answers 2024
Answer :- 

9. What is the minimum value of f(x1,x2) subject to the above mentioned constrained?

  • −5
  • −1
  • 27
  • 0
Answer :- 

10. Find the maximum value of f(x,y)=49−x2−y2 subject to the constraints x+3y=10.

  • 49
  • 46
  • 59
  • 39
Answer :- 
NPTEL Data Science for Engineers Week 5 Assignment Answers 2024
Answer :- For Answer Click Here