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Machine Learning Foundations · End Term · 1 Sept 2024 · May 2024 term · Set QDF3

Question 9: Consider a square matrix A of order 3 such that trace(A) …

Question 9

+4 marksOne or more correct options

Consider a square matrix A of order 3 such that trace(A) = 3 and det(A) = 2. If 1 is an eigenvalue of A, then which of the following options is/are true?

Select all that apply.

  1. A

    Matrix A can be a symmetric matrix.

  2. B

    All eigenvalues of A are distinct.

  3. C

    2 − i is an eigenvalue of A.

  4. D

    Matrix A is not diagonalizable.

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Correct answers

  • A

    Matrix A can be a symmetric matrix.

  • B

    All eigenvalues of A are distinct.

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Question 9 of 14 in the IIT Madras BS Machine Learning Foundations (MLF) End Term paper sat on 1 Sept 2024, in the May 2024 term (IIT M FOUNDATION DIPLOMA AN EXAM QDF3 01 Sep 2024). It carries 4 marks.

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