Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Machine Learning Foundations
Complex, Hermitian & unitary matrices
Official Paper
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- 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.
End Term · 31 Aug 2025 (FN)End Term
Read the passage below, then answer Q1
Based on the above data, answer the given subquestions
Q1MSQ3 Marks·Choose all correct optionsWhich of the following options is/are true?
- AA is a Hermitian matrix.
- BA is not a unitary matrix.
- CA is diagonalizable.
- DNone of these.
End Term · 31 Aug 2025 (AN)End Term
Read the passage below, then answer Q2
Based on the above data, answer the given subquestions.
Q2MSQ3 Marks·Choose all correct optionsWhich of the following options is /are true?
- AA is not a Hermitian matrix.
- BA is not a unitary matrix.
- CA is diagonalizable.
- DNone of these
Quiz 2 · 3 Aug 2025 (AN)Quiz 2
- Q3MSQ3 Marks·Choose all correct options
- AA is a Hermitian matrix.
- BA is a unitary matrix.
- CAll eigenvalues of A are not real.
- DEigenvectors corresponding to different eigenvalues of A are not orthogonal.
- Q4MSQ3 Marks·Choose all correct options
- A
- B
- C
- D
- A
End Term · 22 Dec 2024 (FN)End Term
- Q5MSQ3 Marks·Choose all correct options
- AA is a unitary matrix.
- BA is Hermitian matrix.
- CEigenvectors of A are orthogonal.
- DEigenvalues of A are real.
End Term · 22 Dec 2024 (AN)End Term
- Q6MSQ3 Marks·Choose all correct options
- AA is not a unitary matrix.
- BA is Hermitian matrix.
- CEigenvectors of A are orthogonal.
- DEigenvalues of A are not real.