Figure from the passage in the original paper Choose the correct option(s) from the following:

(D) T is neither one-one nor onto.

Figure from the passage in the original paper Choose the correct option(s) from the following:

(B) Option figure from the original question paper

(C) Option figure from the original question paper

(A) Option figure from the original question paper

(D) Option figure from the original question paper

January 2024 term · Mathematics for Data Science II · BSMA1003

Maths 2 Quiz 2: 24 March 2024 (January 2024 term)

The IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 2 paper sat on 24 Mar 2024, in the January 2024 term: 19 questions for 25 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: 19
Marks: 25
Duration: 120 min
Numerical: 10
MCQ: 6
MSQ: 3

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M DIPLOMA AN EXAM QDD2 24 Mar 2024 · No negative marking.

Question 1

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Find the value of a.

Show answer

Correct answer: 1

Question 1 on its own page

Question 2

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Find the value of b.

Show answer

Correct answer: -2

Question 2 on its own page

Question 3

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Find the value of c.

Show answer

Correct answer: -3

Question 3 on its own page

Question 4

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Find the value of d.

Show answer

Correct answer: 1

Question 4 on its own page

Question 5

+2 marksOne correct option

Choose the correct option(s) from the following:

A
T is one-one and onto.
B
T is one-one but not onto.
C
T is not one-one but onto.
D
T is neither one-one nor onto.

Show answer

Correct answer

B
T is one-one but not onto.

Question 5 on its own page

Question 6

+2 marksOne or more correct options

Choose the correct option(s) from the following:

Select all that apply.

Show answer

Correct answers

Question 6 on its own page

Question 7

+1 markOne correct option

Let V and W be two vector spaces. Suppose there exists an isomorphism T from V to W Based on the above data, answer the given subquestions.

Which of the following statements is true?

A
dim(V ) = dim(W)
B
dim(V ) < dim(W)
C
dim(V ) > dim(W)
D
Insufficient information

Show answer

Correct answer

A
dim(V ) = dim(W)

Question 7 on its own page

Question 8

+1 markOne correct option

Let V and W be two vector spaces. Suppose there exists an isomorphism T from V to W Based on the above data, answer the given subquestions.

A
TRUE
B
FALSE

Show answer

Correct answer

A
TRUE

Question 8 on its own page

Question 9

+1 markOne correct option

Let V and W be two vector spaces. Suppose there exists an isomorphism T from V to W Based on the above data, answer the given subquestions.

Is the following statement true or false?

Let $\{u_1, u_2, u_3\} \subset V$ . If $\{T(u_1), T(u_2), T(u_3)\}$ is a linearly independent set in $W$ , then $\{u_1, u_2, u_3\}$ is not necessarily a linearly independent set in $V$ . In other words, $\{u_1, u_2, u_3\}$ could also be linearly dependent in $V$ .

A
TRUE
B
FALSE

Show answer

Correct answer

B
FALSE

Question 9 on its own page

Question 10

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Find the nullity of T.

Show answer

Correct answer: 1

Question 10 on its own page

Question 11

+1 markOne correct option

Based on the above data, answer the given subquestions.

Which of the following is a basis for the kernel of T?

Show answer

Correct answer

Question 11 on its own page

Question 12

+1 markOne correct option

Based on the above data, answer the given subquestions.

Which of the following is a basis for the image of T?

Show answer

Correct answer

Question 12 on its own page

Question 13

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 2

Question 13 on its own page

Question 14

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 1

Question 14 on its own page

Question 15

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 1

Question 15 on its own page

Question 16

+1 markNumerical answer

Answer the given subquestions:

Show answer

Correct answer: 0

Question 16 on its own page

Question 17

+1 markNumerical answer

Answer the given subquestions:

Show answer

Correct answer: 2

Question 17 on its own page

Question 18

+2 marksOne or more correct options

Select all true statement(s).

Select all that apply.

Show answer

Correct answers

Question 18 on its own page

Question 19

+4 marksOne or more correct options

Choose the correct option(s) from the following:

Select all that apply.

Show answer

Correct answers

Question 19 on its own page