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.
- 20
- 50
- 120 min
- 7
- 4
- 9
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Question 2
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Question 3
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Question 4
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Question 5
Find the maximum possible nullity of a 3 × 4 matrix.
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Correct answer: 4
Question 6
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Correct answer: -3
Question 7
Based on the above data, answer the given subquestions.
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Correct answer: -4
Question 8
Based on the above data, answer the given subquestions.
Find the nullity of the matrix A.
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Correct answer: 2
Question 9
Based on the above data, answer the given subquestions.
Choose the correct definition for the linear transformation T.
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Question 10
Based on the above data, answer the given subquestions.
Which of the following statements is true?
T is neither one-to-one nor onto.
T is one-to-one, but not onto.
T is onto, but not one-to-one.
T is a linear isomorphism.
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Correct answer
T is neither one-to-one nor onto.
Question 11
Based on the above data, answer the given subquestions.
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Correct answer: -6
Question 12
Based on the above data, answer the given subquestions.
(1, 2)
(−1,−2)
(1,−2)
(−1, 2)
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(1, 2)
(−1,−2)
Question 13
Based on the above data, answer the given subquestions.
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Correct answer: 5
Question 14
Based on the above data, answer the given subquestions.
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Correct answer: 1
Question 15
Based on the above data, answer the given subquestions.
Find the angle between T(1, 1, 1) and T(1,−2, 1).
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Question 16
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Correct answer: 2
Question 17
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Question 18
Choose the correct option for W.
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Question 19
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Correct answer: 6
Question 20
Which of the affine spaces below correspond to the subspace W ?
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