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May 2026 term · Machine Learning Foundations · BSCS2004

Machine Learning Foundations Quiz 2: 16 August 2026 (May 2026 term)

The IIT Madras BS Machine Learning Foundations (MLF) Quiz 2 paper sat on 16 Aug 2026, in the May 2026 term: 15 questions for 41 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
41
Duration
120 min
MCQ
5
MSQ
6
Written
4
Take as mock testPractise with answers

Updated

Official paper: Machine Learning Indian Institute Of Technology, Madras - Bs In Data Science/ Electronic Systems Foundations 14 Aug 26 · No negative marking.

Question 1

+1 markOne correct option

Can a Hermitian matrix have an imaginary diagonal element

  1. A

    Yes

  2. B

    No

Show answer

Correct answer

  • B

    No

Question 1 on its own page

Question 2

+3 marksOne correct option

Consider the matrix

Which of the following statements is correct?

Consider the matrix
  1. A

    is Hermitian only.

  2. B

    is unitary only.

  3. C

    is both Hermitian and unitary.

  4. D

    is neither Hermitian nor unitary.

Show answer

Correct answer

  • C

    is both Hermitian and unitary.

Question 2 on its own page

Question 3

+3 marksOne correct option
Figure from the original question paper
  1. A

    29

  2. B

    20

  3. C

    32

  4. D

    35

Show answer

Correct answer

  • A

    29

Question 3 on its own page

Question 4

+3 marksOne correct option
Figure from the original question paper
  1. A

    Statements and only

  2. B

    Statements and only

  3. C

    Statements and only

  4. D

    Statements and

Show answer

Correct answer

  • D

    Statements and

Question 4 on its own page

Question 5

+3 marksOne or more correct options
Figure from the original question paper

Select all that apply.

  1. A

    —

  2. B

    0

  3. C

    1

  4. D

    —

  5. E
    Figure from the original question paper
Show answer

Correct answers

  • A

    —

  • B

    0

  • C

    1

Question 5 on its own page

Question 6

+5 marksOne or more correct options
Figure from the original question paper

Select all that apply.

  1. A

    —

  2. B

    —

  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
  5. E

    —

Show answer

Correct answers

  • A

    —

  • C
    Figure from the original question paper
  • E

    —

Question 6 on its own page

Question 7

+4 marksOne or more correct options

Consider the function Gradient descent is used to minimize with learning rate . Which of the following statements is/are correct?

Select all that apply.

  1. A

    Gradient descent converges for every .

  2. B

    If , the global minimum is reached in exactly one iteration for every non-zero initial point .

    If , the global minimum is reached in exactly one iteration for every non-zero initial point .
  3. C

    If , the global minimum is reached in exactly one iteration for every initial point .

    If , the global minimum is reached in exactly one iteration for every initial point .
  4. D

    If , the iterates alternate between and for any .

    If , the iterates alternate between and for any .
Show answer

Correct answers

  • B

    If , the global minimum is reached in exactly one iteration for every non-zero initial point .

    If , the global minimum is reached in exactly one iteration for every non-zero initial point .
  • D

    If , the iterates alternate between and for any .

    If , the iterates alternate between and for any .
Question 7 on its own page

Question 8

+4 marksOne or more correct options
Figure from the original question paper

Select all that apply.

  1. A

    —

  2. B

    —

  3. C

    —

  4. D

    —

Show answer

Correct answers

  • A

    —

  • C

    —

Question 8 on its own page

Question 9

+3 marksWritten answer

Let denote the point on the line that is closest to the point . Find

Show answer

A written answer, not marked automatically.

Question 9 on its own page

Question 10

+2 marksWritten answer
Figure from the original question paper
Show answer

A written answer, not marked automatically.

Question 10 on its own page

Question 11

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Which of the following pair represents the eigenvalues of ?

  1. A

    —

  2. B

    —

  3. C

    —

  4. D

    —

Show answer

Correct answer

  • A

    —

Question 11 on its own page

Question 12

+3 marksWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Let and denote the singular values of the matrix . Find the value of .

Show answer

A written answer, not marked automatically.

Question 12 on its own page

Question 13

+2 marksOne or more correct options

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Which of the following statements is/are correct?

Select all that apply.

  1. A

    The rank of is .

  2. B

    The nullity of is .

  3. C

    The determinant of is .

  4. D

    The matrix is invertible.

Show answer

Correct answers

  • A

    The rank of is .

  • C

    The determinant of is .

Question 13 on its own page

Question 14

+2 marksOne or more correct options

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Which of the following statements is/are correct?

Select all that apply.

  1. A

    —

  2. B

    —

  3. C

    —

  4. D

    —

Show answer

Correct answers

  • A

    —

  • B

    —

Question 14 on its own page

Question 15

+1 markWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.
Show answer

A written answer, not marked automatically.

Question 15 on its own page