Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Mathematics for Data Science II
Linear maps & their matrices
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- MSQ: One or more options correct. Select all to score.
- NAT: Numerical response. No negative marking.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
End Term · 31 Aug 2025 (FN)End Term
- Q1MCQ3 Marks·Choose one option
- AS1 is false and S2 is true.
- BS1 is true and S2 is false.
- CBoth S1 and S2 are false.
- DBoth S1 and S2 are true.
End Term · 31 Aug 2025 (AN)End Term
- Q2MCQ3 Marks·Choose one option
- AS1 is true and S2 is false.
- BS1 is false and S2 is true.
- CBoth S1 and S2 are true.
- DBoth S1 and S2 are false.
End Term · 13 Apr 2025 (FN)End Term
Read the passage below, then answer Q3–Q4
Based on the above data, answer the given subquestions.
Q3MCQ1 Mark·Choose one option
- A
- B
- C
- D
- A
- Q4MCQ1 Mark·Choose one option
Suppose A is the matrix representation of T with respect to the standard basis for both domain and co-domain. Then A is given by
- A
- B
- C
- D
- A
End Term · 13 Apr 2025 (AN)End Term
Read the passage below, then answer Q5–Q6
Based on the above data, answer the given subquestions.
Q5MCQ1 Mark·Choose one option
- A
- B
- C
- D
- A
- Q6MCQ1 Mark·Choose one option
Suppose A is the matrix representation of T with respect to the standard basis for both domain and co-domain. Then A is given by
- A
- B
- C
- D
- A
End Term · 22 Dec 2024 (FN)End Term
Read the passage below, then answer Q7–Q9
Q7MCQ1 Mark·Choose one optionChoose the correct definition for T.
- A
- B
- C
- A
- Q8NAT1 Mark·Write the number
Your answer: - Q9NAT1 Mark·Write the number
Find the determinant of B.
Your answer: Read the passage below, then answer Q10
Q10MSQ3 Marks·Choose all correct optionsLet 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:
- A
- B
- C
- D
- A
End Term · 22 Dec 2024 (AN)End Term
Read the passage below, then answer Q11–Q13
Q11MCQ1 Mark·Choose one option
- A
- B
- C
- A
- Q12NAT1 Mark·Write the number
Your answer: - Q13NAT1 Mark·Write the number
Find the determinant of B.
Your answer: Read the passage below, then answer Q14
Q14MSQ3 Marks·Choose all correct options
- A
- B
- C
- D
- A