Past year questions

Mathematics for Data Science II (BSMA1003) PYQs

75 verified past-year questions tagged to real concepts, week by week. A few samples below — the full bank, filterable by type and difficulty, is in the app.

Distribution by week

Week 1

Week 2

Week 3

Week 4

Sample questions

msq·medium·PYQ1

Consider the subset $S = \{(1, \alpha, 0), (0, \alpha, 1)\}$ of $V_\alpha$ . Which of the following options is(are) true?

(a) $S$ is linearly independent

(b) $\text{Span}(S) \neq V_\alpha$

(d) $\dim(V_\alpha) = 3$

mcq·medium·PYQ1

Match the systems of linear equations in Column A with their number of solutions in Column B and their geometric representation in Column C.

System (i): x - y - z = 8, -x + y + z = 4 System (ii): x + y - z = 3, x - y + z = 3

Column B options: a) No solution b) Infinitely many solutions

Column C options:

Two planes intersecting at an angle
Two parallel planes

i) → b → 1, ii) → a → 2

i) → a → 1, ii) → b → 2

i) → b → 2, ii) → a → 1

i) → a → 2, ii) → b → 1

nat·medium·PYQ1

Find the value of $a$ for which the matrix $\begin{bmatrix} a & 3 \\ 0 & -5 \end{bmatrix}$ will be in the spanning set of the matrices $\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix}$ and $\begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$ in $M_{2 \times 2}(\mathbb{R})$ with usual matrix addition and scalar multiplication.

Unofficial, student-built, not affiliated with IIT Madras.

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