Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Machine Learning Foundations
Quiz 2 · 3 Aug 2025 (Afternoon)
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- MSQ: One or more options correct. Select all to score.
- NAT: Numerical response. No negative marking.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
- Q1MCQ2 Marks·Choose one option

- A

- B

- C

- D

- A
- Q2MCQ2 Marks·Choose one option

- AQ is positive definite.
- BQ is positive semi-definite.
- CQ is negative definite.
- DQ is negative semi-definite.
- ENone of these
- Q3MCQ3 Marks·Choose one option

- AA is positive definite.
- BA is positive semi-definite.
- CA is negative definite.
- DA is negative semi-definite.
- Q4MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q5MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q6MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q7MSQ3 Marks·Choose all correct options

- AA is a Hermitian matrix.
- BA is a unitary matrix.
- CAll eigenvalues of A are not real.
- DEigenvectors corresponding to different eigenvalues of A are not orthogonal.
- Q8MSQ3 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q9NAT3 Marks·Write the number
Your answer: Read the passage below, then answer Q10–Q12

Based on the above data, answer the given subquestions.
Q10MCQ3 Marks·Choose one optionWhich of the following options is/are true?
- A

- B

- C

- D

- A
- Q11MCQ3 Marks·Choose one option
Which of the following options is/are true ?
- A

- B

- C

- D

- A
- Q12MCQ2 Marks·Choose one option
Which of the following options is true?
- A

- B

- C

- D

- A
Read the passage below, then answer Q13–Q15

Based on the above data, answer the given subquestions.
Q13MCQ2 Marks·Choose one optionThe sample covariance matrix C for the given dataset is
- A

- B

- C

- D

- A
- Q14MCQ2 Marks·Choose one option
The eigenvalues of the covariance matrix are
- A

- B

- C

- D

- A
- Q15MCQ3 Marks·Choose one option
The first principal component is
- A

- B

- C

- D

- A