The IIT Madras BS Mathematics for Data Science II (Maths 2) End Term paper sat on 13 Apr 2025, in the January 2025 term, set 2: 46 questions for 60 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.
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YES
NO
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YES
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Which of the following options is /are true ?
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Suppose A is the matrix representation of T with respect to the standard basis for both domain and co-domain. Then A is given by
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What is the maximum rank of A?
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What is the minimum value for nullity of A?
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Choose the correct option for T.
T may be one-one but not onto.
T may be onto but not one-one.
T must be both one-one and onto.
T can neither be one-one nor onto.
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T may be onto but not one-one.
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0
1
Infinitely many
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Infinitely many
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TRUE
FALSE
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FALSE
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(1, 0)
(0, 1)
(−1, 1)
(1,−1)
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(−1, 1)
(1,−1)
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What can be concluded about the critical point (0, 0) from the Hessian test?
The Hessian test is inconclusive.
(0, 0) is a local minimum.
(0, 0) is a local maximum.
(0, 0) is a saddle point.
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(0, 0) is a local minimum.
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0
1
2
Infinitely many
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1
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Choose the correct statement from the following.
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Find the dimension of W.
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Which of the following vector spaces is/are isomorphic to W?
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Based on the above data, answer the given subquestions.
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Based on the above data, answer the given subquestions.
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