Quiz Space

Machine Learning Foundations · Quiz 2 · 12 Apr 2026 · January 2026 term

Question 5: Which of the following represents the Taylor series expan…

Question 5

+3 marksOne correct option

Which of the following represents the Taylor series expansion up to the third degree term of

around ?

Which of the following represents the Taylor series expansion up to the third degree term of
  1. A

    —

  2. B

    —

  3. C

    —

  4. D

    —

Show answer

Correct answer

  • A

    —

See the whole paperTake it as a mock test

Question 5 of 14 in the IIT Madras BS Machine Learning Foundations (MLF) Quiz 2 paper sat on 12 Apr 2026, in the January 2026 term (Machine Learning Foundations 06 Apr 26). It carries 3 marks.

More questions from this paper

  1. Q1Consider a vector such that . Let , where is the identity matrix. Which of the following is true?
  2. Q2If is a matrix with eigenvalues and , what is det ? Note: det denotes the determinant.
  3. Q3be a Hermitian matrix. Which of the following options is correct for the values of and ?
  4. Q4. Find the condition on and for which the matrix is positive-definite.
  5. Q6If is a real matrix of shape , which of the following is/are true?
  6. Q7Consider the following matrix for : Which of the following options is/are correct?
  7. Q8Consider a function whose graph is shown below. and correspond to local minima of . We run two separate instances of gr…
  8. Q9Inscript is a real matrix of shape with the following singular values: . Find the rank of .
  9. Q10Consider the matrix . Find the sum of all the singular values of .
  10. Q11A function is minimized using the gradient descent algorithm. Let denote the value of at which is minimized.Starting fr…
  11. Q12is the covariance matrix of the dataset, find . Enter the nearest integer as your answer.
  12. Q13Let be the unit-norm eigenvector corresponding to the smallest eigenvalue of the covariance matrix. Find the variance o…
  13. Q14Consider the following dataset in Run PCA on this dataset. Based on the above data, answer the given subquestions.