Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Mathematics for Data Science II
Determinants & their properties
Official Paper
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- 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
- Q1MSQ6 Marks·Choose all correct options
Let A be a square matrix of order n > 1. Select all the statements which imply that det(A) = 0.
- AAll the entries of one of the columns of A are zero.
- BOne of the columns of A is a scalar multiple of another column.
- CThe diagonal entries of A are all zero.
- DThe determinant of the transpose of A is zero.
- EA^2 = 0.
- Q2NAT3 Marks·Write the number
Your answer:
End Term · 13 Apr 2025 (FN)End Term
- Q3NAT1 Mark·Write the number
Your answer: - Q4NAT1 Mark·Write the number
Your answer: - Q5NAT1 Mark·Write the number
Your answer:
End Term · 13 Apr 2025 (AN)End Term
- Q6NAT1 Mark·Write the number
Your answer: - Q7NAT1 Mark·Write the number
Your answer: - Q8NAT1 Mark·Write the number
Your answer:
End Term · 22 Dec 2024 (FN)End Term
- Q9MSQ3 Marks·Choose all correct options
- AMultiply first row of A with 2 and interchange second and third row.
- BMultiply matrix A with −2.
- CAdd third row to first row and multiply second row with −2.
- DInterchange first and second row and multiply third row with −2.
End Term · 22 Dec 2024 (AN)End Term
- Q10MSQ3 Marks·Choose all correct options
- AAdd second row to fourth row and multiply second row with −5.
- BMultiply matrix A with −5.
- CInterchange first and third row and multiply fourth row with 5.
- DMultiply second row of A with 5 and multiply third row with -1.