Quiz Space

Machine Learning Foundations · Quiz 1 · 19 Jul 2026 · May 2026 term

Question 10: be the matrix whose eigenvalues are and , and whose eige…

Question 10

+4 marksWritten answer

Let

be the matrix whose eigenvalues are and , and whose eigenvectors are and respectively. Find . Your answer should be an integer.

Let
Show answer

A written answer, not marked automatically.

See the whole paperTake it as a mock test

Question 10 of 14 in the IIT Madras BS Machine Learning Foundations (MLF) Quiz 1 paper sat on 19 Jul 2026, in the May 2026 term (Machine Learning Foundations 16 Jul 26). It carries 4 marks.

More questions from this paper

  1. Q1What is the best linear approximation of around
  2. Q2A company manufactures a special rectangular metal sheet. The production cost (in hundreds of rupees) depends on its le…
  3. Q3Find the projection matrix that projects the plane onto the line .
  4. Q4Let be a real symmetric matrix. Consider the following statements. (1) is orthogonally diagonalizable. (2) is not diago…
  5. Q5Let and be two square matrices of order . The rows of are represented by row vectors , from top to bottom, and the colu…
  6. Q6is a square matrix of order with the eigenvalue repeated twice. Which of the following is/are true?
  7. Q7Suppose is a matrix with rank 4. Which of the following is/are true?
  8. Q8Which of the following represents the set of all points on the line passing through along the direction ? (More than on…
  9. Q9Let be two vectors with and . Find the maximum possible value of , where represents the absolute value of . Your answer…
  10. Q11Consider the following dataset consisting of two features and : We want to reduce the dimensionality of the dataset fro…
  11. Q12Consider the following dataset consisting of two features and : We want to reduce the dimensionality of the dataset fro…
  12. Q13Consider the following dataset consisting of two features and : We want to reduce the dimensionality of the dataset fro…
  13. Q14Consider the following dataset consisting of two features and : We want to reduce the dimensionality of the dataset fro…