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Machine Learning Indian Institute Of Technology, Madras - Bs In Data Science/ Electronic Systems Foundations 14 Aug 26 - 16 Aug 2026

MLF Quiz 214 questions40 marks6 MSQ · 5 MCQ · 3 SAFoundation
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Q1MCQ1 mark
Can a Hermitian matrix have an imaginary diagonal element
  1. Yes
  2. No
Q2MCQ3 marks
Consider the matrix question figure Which of the following statements is correct?
  1. is Hermitian only.
  2. is unitary only.
  3. is both Hermitian and unitary.
  4. is neither Hermitian nor unitary.
Q3MCQ3 marks
question figure
  1. 29
  2. 20
  3. 32
  4. 35
Q4MCQ3 marks
question figure
  1. Statements and only
  2. Statements and only
  3. Statements and only
  4. Statements and
Q5MSQ3 marksselect all that apply
question figure
  2. 0
  3. 1
  5. question figure
Q6MSQ5 marksselect all that apply
question figure
  3. question figure
  4. question figure
Q7MSQ4 marksselect all that apply
Consider the function Gradient descent is used to minimize with learning rate . Which of the following statements is/are correct?
  1. Gradient descent converges for every .
  2. If , the global minimum is reached in exactly one iteration for every non-zero initial point .question figure
  3. If , the global minimum is reached in exactly one iteration for every initial point .question figure
  4. If , the iterates alternate between and for any .question figure
Q8MSQ4 marksselect all that apply
question figure
Q9SA3 marks
Let denote the point on the line that is closest to the point . Find
Q10SA2 marks
question figure
Comprehension passage - the questions below it refer to this
Based on the above data, answer the given subquestions. question figure
Q11MCQ2 marks
Which of the following pair represents the eigenvalues of ?
Q12SA3 marks
Let and denote the singular values of the matrix . Find the value of .
Q13MSQ2 marksselect all that apply
Which of the following statements is/are correct?
  1. The rank of is .
  2. The nullity of is .
  3. The determinant of is .
  4. The matrix is invertible.
Q14MSQ2 marksselect all that apply
Which of the following statements is/are correct?

Answer key

  1. Q1 (MCQ, 1 marks): B
  2. Q2 (MCQ, 3 marks): C
  3. Q3 (MCQ, 3 marks): A
  4. Q4 (MCQ, 3 marks): D
  5. Q5 (MSQ, 3 marks): A, B, C
  6. Q6 (MSQ, 5 marks): A, C, E
  7. Q7 (MSQ, 4 marks): B, D
  8. Q8 (MSQ, 4 marks): A, C
  9. Q9 (SA, 3 marks): 2
  10. Q10 (SA, 2 marks): 19
  11. Q11 (MCQ, 2 marks): A
  12. Q12 (SA, 3 marks): 2
  13. Q13 (MSQ, 2 marks): A, C
  14. Q14 (MSQ, 2 marks): A, B