MLF Quiz 2: 23 November 2025 (September 2025 term)

14 more questions in this paper

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1. Q4Suppose . What is the value of when is minimum?3 marks
2. Q5For each sub-question, answer whether it is true or false. The singular value decompositi…2 marks
3. Q6For each sub-question, answer whether it is true or false. If is Hermitian, then eigenvec…2 marks
4. Q7Consider a unitary matrix as given below: Also, and .\ Based on the above data, answer th…1 mark
5. Q8Consider a unitary matrix as given below: Also, and .\ Based on the above data, answer th…1 mark
6. Q9Consider a unitary matrix as given below: Also, and .\ Based on the above data, answer th…2 marks
7. Q10Which of the following are the singular values of ?3 marks
8. Q11If is a symmetric matrix, consider statements P and Q.\ P: If is an eigenvalue of , then …3 marks
9. Q12Starting at , run two steps of gradient descent with learning rate to obtain . If , enter…2 marks
10. Q13For what value of will gradient descent reach the minimum after exactly one step? Enter y…2 marks
11. Q14Consider the task of minimizing the function . Let be some arbitrary point in the plane o…2 marks
12. Q15If the covariance matrix of the dataset is , find .3 marks
13. Q16If the unit-norm eigenvector corresponding to the largest eigenvalue of is , find .2 marks
14. Q17The data-points and are added to to get . PCA is run on . The covariance matrix of is and…2 marks