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May 2024 term · Mathematics for Data Science II · BSMA1003

Maths 2 End Term: 1 September 2024, Set 1 (May 2024 term)

The IIT Madras BS Mathematics for Data Science II (Maths 2) End Term paper sat on 1 Sept 2024, in the May 2024 term, set 1: 28 questions for 55 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
28
Marks
55
Duration
180 min
MCQ
9
MSQ
3
Written
16
Take as mock testPractise with answers

Updated

Official paper: IIT M IMPROVEMENT AN EXAM QDD3 01 · No negative marking.

Question 1

+1 markOne correct option

THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL : SEMESTER II: MATHEMATICS FOR DATA SCIENCE II (COMPUTER BASED EXAM)" ARE YOU SURE YOU HAVE TO WRITE EXAM FOR THIS SUBJECT? CROSS CHECK YOUR HALL TICKET TO CONFIRM THE SUBJECTS TO BE WRITTEN. (IF IT IS NOT THE CORRECT SUBJECT, PLS CHECK THE SECTION AT THE TOP FOR THE SUBJECTS REGISTERED BY YOU)

  1. A

    YES

  2. B

    NO

Show answer

Correct answer

  • A

    YES

Question 1 on its own page

Question 2

+3 marksOne correct option

Let A and B be two matrices such that AB is a square matrix. Consider the two statements given below: Statement-P: If AB is invertible, both A and B are square invertible matrices. Statement-Q: Both A and B are square matrices.

  1. A

    Statement-P is true, but statement-Q is false.

  2. B

    Statement-P is false, but statement-Q is true.

  3. C

    Both statements are true.

  4. D

    Both statements are false.

Show answer

Correct answer

  • D

    Both statements are false.

Question 2 on its own pageAlso asked in End Term 1 Sept 2024

Question 3

+3 marksOne correct option
Figure from the original question paper
  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answer

  • D
    Figure from the original question paper
Question 3 on its own page

Question 4

+3 marksOne correct option

Which of the following is an orthonormal basis for span {(1, 0, 1), (0, 1,−1)}?

  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answer

  • A
    Figure from the original question paper
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
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answers

  • A
    Figure from the original question paper
  • B
    Figure from the original question paper
Question 5 on its own page

Question 6

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

Select all that apply.

  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answers

  • C
    Figure from the original question paper
  • D
    Figure from the original question paper
Question 6 on its own page

Question 7

+3 marksWritten answer
Figure from the original question paper
Show answer

A written answer, not marked automatically.

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Question 8

+3 marksWritten answer
Figure from the original question paper
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Question 9

+3 marksWritten answer
Figure from the original question paper
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Question 10

+3 marksWritten answer
Figure from the original question paper
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Question 11

+3 marksWritten answer
Figure from the original question paper
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Question 12

+3 marksWritten answer
Figure from the original question paper
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Question 13

+4 marksWritten answer
Figure from the original question paper
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Question 14

+1 markOne correct option

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Choose the largest possible D that would be a valid domain from the options given below.

  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
  5. E
    Figure from the original question paper
Show answer

Correct answer

  • C
    Figure from the original question paper
Question 14 on its own page

Question 15

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.
Figure from the original question paper
  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answer

  • B
    Figure from the original question paper
Question 15 on its own page

Question 16

+1 markWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

How many critical points does f have?

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Question 17

+1 markWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Find the determinant of the Hessian at (0, 0).

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Question 17 on its own page

Question 18

+1 markOne correct option

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

This function does not have a

  1. A

    Local maximum

  2. B

    Local minimum

  3. C

    Saddle point

Show answer

Correct answer

  • B

    Local minimum

Question 18 on its own page

Question 19

+1 markWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Enter the value of x.

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A written answer, not marked automatically.

Question 19 on its own page

Question 20

+1 markWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Enter the value of y.

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Question 21

+1 markWritten answer

Based on the above data, answer the given subquestions.

Based on the above data, answer the given subquestions.

Enter the value of z.

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Question 22

+1 markOne correct option
Figure from the original question paper

What is the matrix representation of T?

  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answer

  • A
    Figure from the original question paper
Question 22 on its own page

Question 23

+1 markOne or more correct options
Figure from the original question paper

Select all true statements.

Select all that apply.

  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answers

  • A
    Figure from the original question paper
  • D
    Figure from the original question paper
Question 23 on its own page

Question 24

+2 marksOne correct option
Figure from the original question paper
Figure from the original question paper
  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answer

  • A
    Figure from the original question paper
Question 24 on its own page

Question 25

+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 25 on its own page

Question 26

+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.

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Question 27

+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.

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Question 28

+1 markWritten answer
Figure from the original question paper
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