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September 2024 term · Machine Learning Foundations · BSCS2004

Machine Learning Foundations Quiz 1: 27 October 2024 (September 2024 term)

The IIT Madras BS Machine Learning Foundations (MLF) Quiz 1 paper sat on 27 Oct 2024, in the September 2024 term: 12 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
12
Marks
40
Duration
120 min
MSQ
6
MCQ
4
Numerical
2
Take as mock testPractise with answers

Updated

Official paper: IIT M DIPLOMA AN EXAM QDD2 27 Oct 2024 · No negative marking.

Question 1

+3 marksOne or more correct options

Which of the following 3 × 3 matrices have rank 2 with column space equal to row space?

Select all that apply.

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

Correct answers

  • A
  • D
Question 1 on its own page

Question 2

+3 marksOne or more correct options

Select all that apply.

  1. A

    B has eigenvalues -4, 8, 70.

  2. B

    A has eigenvalues 1, 16, 81.

  3. C

    B is an upper triangular matrix.

  4. D

    B is a lower triangular matrix.

Show answer

Correct answers

  • A

    B has eigenvalues -4, 8, 70.

  • C

    B is an upper triangular matrix.

Question 2 on its own page

Question 3

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

  • B
  • C
Question 3 on its own page

Question 4

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • C
  • D
Question 4 on its own page

Question 5

+4 marksOne or more correct options

Select all that apply.

  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
Show answer

Correct answers

  • A
  • F
Question 5 on its own page

Question 6

+4 marksOne or more correct options

Determine which of the following limits yields a finite value.

Select all that apply.

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

Correct answers

  • A
  • B
  • D
Question 6 on its own page

Question 7

+3 marksOne correct option
  1. A

    Yes

  2. B

    No

  3. C

    Insufficient information

Show answer

Correct answer

  • A

    Yes

Question 7 on its own page

Question 8

+3 marksOne correct option

Consider the following input data points:

XXYY
[0, 1, 1]-1
[0, 1, 0]-1
[1, 1, 3]+1
[1, 0, 5]+1
[0, 0, 6]+1
[1, 0, 4]+1

Which among the following models has the least misclassification error?

Hint: Consider Sign(0)=1Sign(0) = 1

  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
  1. A

    3

  2. B

    2

  3. C

    -2

  4. D

    1

Show answer

Correct answer

  • C

    -2

Question 9 on its own page

Question 10

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

Correct answer

  • B
Question 10 on its own page

Question 11

+3 marksNumerical answer
Show answer

Correct answer: 1.5

Question 11 on its own page

Question 12

+3 marksNumerical answer
Show answer

Correct answer: 0.4

Question 12 on its own page