Question 1
Consider the system of linear equations
given by
Suppose
represents the affine space of solutions of
, and let
be the subspace in
corresponding to the affine space
. Choose the correct option from the following.
Consider the system of linear equations
given by
Suppose
represents the affine space of solutions of
, and let
be the subspace in
corresponding to the affine space
. Choose the correct option from the following.




Let
be a linear transformation such that
Which of the following statements is correct?
is the identity transformation.
maps every vector in
to a vector with at least one zero component.
is not injective.
.
Let
denote the standard inner product on
, i.e.,
for
and
in
. For a vector
, consider a linear transformation
defined as
where
. Which of the following options is (are) true for
?
is one-one for all
.
is onto for all
.
is not one-one for every
.
There exists a
such that
is an isomorphism.
Sign in with Google — it is free — to see every question with its answer and explanation, practise it in learning mode, or take it as a timed mock test.
The IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 2 paper sat on 12 Apr 2026, in the January 2026 term: 14 questions for 50 marks in 120 minutes. The first 3 questions are below. Sign in with Google — it is free — to see the whole paper with its answers and explanations, in learning mode or as a timed mock test.
| Feature | Maths 2 Quiz 2 12 Apr 2026 at a glance |
|---|---|
| Term | January 2026 term |
| Subject | Mathematics for Data Science II |
| Course code | BSMA1003 |
| Questions | 14 |
| Marks | 50 |
| Duration | 120 min |
| MCQ | 2 |
| MSQ | 6 |
| Numerical | 6 |
| Official paper | Maths2 06 Apr 26 |
| Negative marking | No negative marking. |
| Updated |