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January 2024 term · Machine Learning Foundations · BSCS2004

Machine Learning Foundations Quiz 2: 24 March 2024 (January 2024 term)

The IIT Madras BS Machine Learning Foundations (MLF) Quiz 2 paper sat on 24 Mar 2024, in the January 2024 term: 14 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
14
Marks
40
Duration
120 min
MSQ
5
MCQ
8
Numerical
1
Take as mock testPractise with answers

Updated

Official paper: IIT M DIPLOMA AN EXAM QDD2 24 Mar 2024 · No negative marking.

Question 1

+3 marksOne or more correct options

Consider two complex matrices A and B such that both are the Hermitian matrices. Which of the following statements is/are true?

Select all that apply.

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

Correct answers

  • A
  • B
Question 1 on its own page

Question 2

+3 marksOne or more correct options

Which of the following statements is/are true about A?

Select all that apply.

  1. A

    A is the Hermitian matrix.

  2. B

    A is the Unitary matrix.

  3. C

    All eigenvalues are real.

  4. D

    Eigenvalues are complex.

Show answer

Correct answers

  • A

    A is the Hermitian matrix.

  • C

    All eigenvalues are real.

Question 2 on its own page

Question 3

+3 marksOne or more correct options

Which of the following statements is/are true about A?

Select all that apply.

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

Correct answers

  • A
  • B
  • C
Question 3 on its own page

Question 4

+3 marksOne or more correct options

Which of the following options is/are true?

Select all that apply.

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

Correct answers

  • C
  • D
Question 4 on its own page

Question 5

+3 marksOne or more correct options

Which of the following options is/are true?

Select all that apply.

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

Correct answers

  • B
  • C
Question 5 on its own page

Question 6

+2 marksOne correct option

Which of the following options represents matrix A?

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

Correct answer

  • A
Question 6 on its own page

Question 7

+3 marksOne correct option

Which of the following options is/are true?

  1. A

    A is a negative definite matrix.

  2. B

    A is a positive definite matrix.

  3. C

    A is a negative semi-definite matrix.

  4. D

    A is a positive semi-definite matrix.

  5. E

    A is a indefinite matrix.

Show answer

Correct answer

  • E

    A is a indefinite matrix.

Question 7 on its own page

Question 8

+3 marksOne correct option

Based on the above data, answer the given subquestions

Compute the sample covariance matrix C for the given dataset.

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

Correct answer

  • A
Question 8 on its own page

Question 9

+3 marksOne correct option

Based on the above data, answer the given subquestions

Which is the principal direction that is chosen for performing PCA?

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

Correct answer

  • B
Question 9 on its own page

Question 10

+3 marksOne correct option

Based on the above data, answer the given subquestions

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

Correct answer

  • D
Question 10 on its own page

Question 11

+2 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 11 on its own page

Question 12

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

Correct answer

  • D
Question 12 on its own page

Question 13

+3 marksOne correct option
  1. A

    -1.5, -2.5

  2. B

    1.5, 2.5

  3. C

    1.5, -2.5

  4. D

    -1.5, 2.5

Show answer

Correct answer

  • B

    1.5, 2.5

Question 13 on its own page

Question 14

+3 marksNumerical answer

The value of a function at point 5 is 10. The values of the function’s first and second order derivatives at this point are 5 and 2 respectively. What will be the function’s approximate value at the point 5.1? (Enter the answer correct up to two decimal places).

Show answer

Correct answer: 10.5 (accepted within ±0.3)

Question 14 on its own page