Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Machine Learning Foundations
Vector spaces, rank & projections
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.
- 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
- Q1MSQ2 Marks·Choose all correct options
- A
- B
- C
- D
- A
Read the passage below, then answer Q2–Q3
Based on the above data, answer the given subquestions.
Q2MCQ3 Marks·Choose one optionWhich of the following sets forms a basis for the row space of A?
- A{(1, 0, 2), (0, 1,−1)}
- B{(1, 0, 2), (0, 1,−1), (0, 0,−1)}
- C{(1, 0, 2), (0,−1, 1), (0,−1,−4)}
- D{(0, 1,−1), (0, 0,−4)}
- Q3MCQ2 Marks·Choose one option
- A
- B
- C
- D
- A
End Term · 31 Aug 2025 (FN)End Term
- Q4MSQ3 Marks·Choose all correct options
- A
- B
- C
- D
- A
End Term · 31 Aug 2025 (AN)End Term
- Q5MSQ3 Marks·Choose all correct options
- A
- B
- C
- D
- A
End Term · 22 Dec 2024 (FN)End Term
- Q6MSQ3 Marks·Choose all correct options
Which of the following options is/are true ?
- A
- B
- C
- D
- A
End Term · 22 Dec 2024 (AN)End Term
- Q7MSQ3 Marks·Choose all correct options
Which of the following options is/are true ?
- A
- B
- C
- D
- A