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January 2025 term · Mathematics for Data Science II · BSMA1003

Maths 2 Quiz 2: 16 March 2025 (January 2025 term)

The IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 2 paper sat on 16 Mar 2025, in the January 2025 term: 20 questions for 50 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
20
Marks
50
Duration
120 min
MCQ
7
MSQ
4
Numerical
9

Updated

Official paper: IIT M DIPLOMA AN EXAM QDD2 16 Mar 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

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • D
  • E

Question 3

+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

+4 marksOne or more correct options

Select all that apply.

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

Correct answers

  • C
  • D

Question 5

+2 marksNumerical answer

Find the maximum possible nullity of a 3 × 4 matrix.

Show answer

Correct answer: 4

Question 6

+2 marksNumerical answer
Show answer

Correct answer: -3

Question 7

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: -4

Question 8

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the nullity of the matrix A.

Show answer

Correct answer: 2

Question 9

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Choose the correct definition for the linear transformation T.

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

Correct answer

  • D

Question 10

+4 marksOne correct option

Based on the above data, answer the given subquestions.

Which of the following statements is true?

  1. A

    T is neither one-to-one nor onto.

  2. B

    T is one-to-one, but not onto.

  3. C

    T is onto, but not one-to-one.

  4. D

    T is a linear isomorphism.

Show answer

Correct answer

  • A

    T is neither one-to-one nor onto.

Question 11

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: -6

Question 12

+4 marksOne or more correct options

Based on the above data, answer the given subquestions.

Select all that apply.

  1. A

    (1, 2)

  2. B

    (−1,−2)

  3. C

    (1,−2)

  4. D

    (−1, 2)

Show answer

Correct answers

  • A

    (1, 2)

  • B

    (−1,−2)

Question 13

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 5

Question 14

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 1

Question 15

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Find the angle between T(1, 1, 1) and T(1,−2, 1).

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

Correct answer

  • D

Question 16

+2 marksNumerical answer
Show answer

Correct answer: 2

Question 17

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

Correct answer

  • B

Question 18

+2 marksOne correct option

Choose the correct option for W.

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

Correct answer

  • D

Question 19

+2 marksNumerical answer
Show answer

Correct answer: 6

Question 20

+2 marksOne correct option

Which of the affine spaces below correspond to the subspace W ?

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

Correct answer

  • C