Quiz Space

Mathematics for Data Science II · Quiz 1 · 19 Jul 2026 · May 2026 term

Question 6: If forms a subspace of , then find the dimension of . Oth…

Question 6

+4 marksWritten answer

Let

If forms a subspace of , then find the dimension of . Otherwise, enter the number as the answer.

Let
Show answer

A written answer, not marked automatically.

Question 6 of 14 in the IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 1 paper sat on 19 Jul 2026, in the May 2026 term (Maths2 16 Jul 26). It carries 4 marks.

More questions from this paper

  1. Q1Let be a matrix such that . Suppose is a matrix obtained from by swapping the second and third rows, and then multiplyi…
  2. Q2Let . Choose the correct options.
  3. Q3Consider the vector space The subset is a linearly independent subset of . Which of the following matrices are vectors …
  4. Q4If is a linear combination of the vectors as , then find the value of .
  5. Q5Let be an invertible -matrix such that . Find ?
  6. Q7Define a -matrix as . Find the rank of the matrix .
  7. Q8Consider the vectors and in , for some . Find the number of values of for which the given three vectors are linearly de…
  8. Q9denotes the vector space consisting of real square matrices of order 3 with usual matrix addition and scalar multiplica…
  9. Q10denotes the vector space consisting of real square matrices of order 3 with usual matrix addition and scalar multiplica…
  10. Q11Let denotes the column space of . Choose the correct options.
  11. Q12. Find the value of , up to two decimal places, such that the system of linear equations does not have any solution.
  12. Q13denotes the vector space consisting of real square matrices of order 3 with usual matrix addition and scalar multiplica…
  13. Q14Let be a coefficient matrix, and be a column matrix to a system of linear equations with variables, , given by where . …