The IIT Madras BS Mathematics for Data Science II (Maths 2) End Term paper sat on 22 Dec 2024, in the September 2024 term, set 4: 44 questions for 62 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.
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)
YES
NO
Correct answer
YES
Multiply first row of A with 2 and interchange second and third row.
Multiply matrix A with −2.
Add third row to first row and multiply second row with −2.
Interchange first and second row and multiply third row with −2.
Correct answers
Multiply first row of A with 2 and interchange second and third row.
Add third row to first row and multiply second row with −2.
Assume the usual vector addition and scalar multiplication for all the options below. Choose the correct option(s) from the following statements.
Correct answers
Correct answers
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TRUE
FALSE
Correct answer
TRUE
TRUE
FALSE
Correct answer
FALSE
TRUE
FALSE
Correct answer
TRUE
Choose the correct definition for T.
Correct answer
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Find the determinant of B.
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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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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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Based on the above data answer the given subquestions.
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Based on the above data answer the given subquestions.
Correct answer
Based on the above data answer the given subquestions.
Using the function given, calculate the maximum possible volume of a cuboid whose perimeter is 12.
A written answer, not marked automatically.
dim(W) = 1
dim(W) = 2
dim(W) = 3
dim(W) = 4
Correct answer
dim(W) = 2
Let A be the matrix representation of T with respect to some ordered basis for both the domain and the codomain. Which of the following options is correct:
Correct answers
The transformation T is
bijective
injective but not surjective
surjective but not injective
neither injective nor surjective
Correct answer
injective but not surjective
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A written answer, not marked automatically.
A written answer, not marked automatically.
Based on the above data answer the given subquestions.
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Based on the above data answer the given subquestions.
Find the value of a.
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Based on the above data answer the given subquestions.
Find the value of b.
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Based on the above data answer the given subquestions.
0
1
2
Infinitely many
Correct answer
2
Based on the above data answer the given subquestions.
Correct answer
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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A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
Based on the above data answer the given subquestions.
A written answer, not marked automatically.
Based on the above data answer the given subquestions.
A written answer, not marked automatically.
Based on the above data answer the given subquestions.
A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
Based on the above data answer the given subquestions.
A written answer, not marked automatically.
Based on the above data answer the given subquestions.
A written answer, not marked automatically.
Based on the above data answer the given subquestions.
A written answer, not marked automatically.
