The IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 2 paper sat on 3 Aug 2025, in the May 2025 term, set 8: 18 questions for 54 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.
THIS IS QUESTION PAPER FOR THE SUBJECT "FOUNDATION LEVEL : 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
The nullity of A is independent of the value of k.
The nullity of A depends on the value of k, and the set of all possible values forthe nullity of A is {1, 2}.
The nullity of A depends on the value of k, and the set of all possible values forthe nullity of A is {0, 1, 2, 3, 4, 5}.
The nullity of A depends on the value of k, and the set of all possible values forthe nullity of A is {2, 3}.
Correct answer
The nullity of A depends on the value of k, and the set of all possible values forthe nullity of A is {2, 3}.
a) → iii), b) → i), c) → ii)
a) → ii), b) → i), c) → iii)
a) → iii), b) → ii), c) → i)
a) → ii), b) → iii), c) → i)
Correct answer
a) → iii), b) → i), c) → ii)
Correct answers
A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
Choose all the correct statements from the following.
The rank of the linear transformation T is 2.
The nullity of the linear transformation T is 2.
The transformation T is invertible.
T cannot be an isomorphism.
Correct answers
The rank of the linear transformation T is 2.
T cannot be an isomorphism.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
Find the number of columns in the matrix (with respect to any bases) of the linear transformation T.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
Let A denote the matrix of the linear transformation T with respect to standard bases for both the domain and the codomain. Choose the correct statement from the following. (In the options below, REF is used for row echelon form, and RREF is used for reduced row echelon form.)
A is in REF and RREF.
A is neither in RREF nor in REF.
A is in RREF, but not in REF.
A is in REF, but not in RREF.
Correct answer
A is in REF, but not in RREF.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
Which of the following is the matrix of the linear transformation T with respect to standard bases for both the domain and the codomain.
Correct answer
Based on the above data, answer the given subquestions.
Which of the following spaces are isomorphic to the kernel of T?
Correct answers
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.
