Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Mathematics for Data Science II
Systems of linear equations
Official Paper
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.
Quiz 1 · 26 Oct 2025 (AN)Quiz 1
- Q1MCQ4 Marks·Choose one option
- A
- B
- C
- D
- A
- Q2MCQ6 Marks·Choose one option
- ABoth S1 and S2 are true.
- BBoth S1 and S2 are false.
- CS1 is true and S2 is false.
- DS1 is false and S2 is true.
- Q3NAT4 Marks·Write the number
Your answer:
End Term · 13 Apr 2025 (FN)End Term
- Q4MSQ3 Marks·Choose all correct options
Which of the following options is/are true?
- AIf a system of linear equations Ax = b has a solution, then b is a linear combination of the columns of the coefficient matrix A.
- BConsider a system of linear equations Ax = b. If b is a linear combination of the columns of the coefficient matrix A, then the system Ax = b has a unique solution.
- CIf the number of variables is more than the number of equations in a system of linear equations Ax = 0, then it has a unique solution.
- DIf the columns of a matrix A are linearly independent, then the system Ax = 0 will have a unique solution.
End Term · 13 Apr 2025 (AN)End Term
- Q5MSQ3 Marks·Choose all correct options
Which of the following options is/are true?
- A
- B
- C
- D
- A
End Term · 22 Dec 2024 (FN)End Term
Read the passage below, then answer Q6–Q7
Q6NAT1.5 Marks·Write the number
Your answer:- Q7MCQ1.5 Marks·Choose one option
- A
- B
- C
- D
- A
End Term · 22 Dec 2024 (AN)End Term
Read the passage below, then answer Q8–Q9
Q8NAT1.5 Marks·Write the number
Your answer:- Q9MCQ1.5 Marks·Choose one option
- A
- B
- C
- D
- A