Question 19
Based on the above data, answer the given subquestions.
Which of the following is a basis for U ?
{(1,−1,−1), (1, 3, 2)}
{(1, 2, 3), (−1,−1,−1)}
{(0, 1,−1), (0,−1, 1)}
{(1, 2, 3), (0,−1, 1)}
Question 19: Which of the following is a basis for U ?
Show answer
Correct answer
{(1, 2, 3), (0,−1, 1)}
Question 19 of 26 in the IIT Madras BS Mathematics for Data Science II (Maths 2) End Term paper sat on 31 Aug 2025, in the May 2025 term (IIT M FOUNDATION AN EXAM QDF3 31 Aug 2025). It carries 2 marks.
More questions from this paper
- Consider a linear transformation T : \mathbb{R}^3 \to \mathbb{R}^3 defined as: T(x,y,z) = (x + y - z, ay + 2bz, x - y +…
- Figure question
- Which of the following options are correct?
- Figure question
- Figure question
- Figure question
- Figure question
- Figure question
- Let f : \mathbb{R}^2 \to \mathbb{R} be a function for which the following is known. At every point, the partial derivat…
- Find the value of k.
- Based on the above data, answer the given subquestions.
- The directional derivatives of f exist in all directions at the origin.
- Based on the above data, answer the given subquestions.
- Based on the above data, answer the given subquestions.
- Find the value of c.
- Based on the above data, answer the given subquestions.
- Based on the above data, answer the given subquestions.
- Which of the following are possible candidates for v ?
- Which of the following is the only critical point of T in Int( D )?
- What can be concluded by the Hessian test for T at its critical point in Int( D )?
- Let f_1 and f_2 denote the one-variable functions obtained by restricting T on \gamma_1 and \gamma_2, respectively, i.e…
- Comparing the critical points on the interior, the boundary components, and the corners, find the temperature at the ho…
- Figure question
- Figure question
- Figure question