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May 2025 term · Machine Learning Foundations · BSCS2004

Machine Learning Foundations Quiz 2: 3 August 2025 (May 2025 term)

The IIT Madras BS Machine Learning Foundations (MLF) Quiz 2 paper sat on 3 Aug 2025, in the May 2025 term: 15 questions for 40 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
15
Marks
40
Duration
120 min
MCQ
12
MSQ
2
Numerical
1

Updated

Official paper: IIT M DEGREE AN EXAM QDB2 03 Aug 2025 · No negative marking.

Question 1

+2 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • C

Question 2

+2 marksOne correct option
  1. A

    Q is positive definite.

  2. B

    Q is positive semi-definite.

  3. C

    Q is negative definite.

  4. D

    Q is negative semi-definite.

  5. E

    None of these

Show answer

Correct answer

  • E

    None of these

Question 3

+3 marksOne correct option
  1. A

    A is positive definite.

  2. B

    A is positive semi-definite.

  3. C

    A is negative definite.

  4. D

    A is negative semi-definite.

Show answer

Correct answer

  • A

    A is positive definite.

Question 4

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B

Question 5

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • C

Question 6

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A

Question 7

+3 marksOne or more correct options

Select all that apply.

  1. A

    A is a Hermitian matrix.

  2. B

    A is a unitary matrix.

  3. C

    All eigenvalues of A are not real.

  4. D

    Eigenvectors corresponding to different eigenvalues of A are not orthogonal.

Show answer

Correct answers

  • C

    All eigenvalues of A are not real.

  • D

    Eigenvectors corresponding to different eigenvalues of A are not orthogonal.

Question 8

+3 marksOne or more correct options

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • B
  • C

Question 9

+3 marksNumerical answer
Show answer

Correct answer: 3.75 (accepted within ±0.3)

Question 10

+3 marksOne correct option

Based on the above data, answer the given subquestions.

Which of the following options is/are true?

  1. A
  2. B
  3. C
  4. D
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Correct answer

  • C

Question 11

+3 marksOne correct option

Based on the above data, answer the given subquestions.

Which of the following options is/are true ?

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A

Question 12

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Which of the following options is true?

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • C

Question 13

+2 marksOne correct option

Based on the above data, answer the given subquestions.

The sample covariance matrix C for the given dataset is

  1. A
  2. B
  3. C
  4. D
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Correct answer

  • A

Question 14

+2 marksOne correct option

Based on the above data, answer the given subquestions.

The eigenvalues of the covariance matrix are

  1. A
  2. B
  3. C
  4. D
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Correct answer

  • A

Question 15

+3 marksOne correct option

Based on the above data, answer the given subquestions.

The first principal component is

  1. A
  2. B
  3. C
  4. D
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Correct answer

  • C