Quiz Space

Mathematics for Data Science II · Quiz 1 · 27 Oct 2024 · September 2024 term

Question 16: Consider the matrix A = \begin{bmatrix} 1 & 2 & -3 \ -2 …

Question 16

+2 marksNumerical answer

Answer the given subquestions.

Consider the matrix A=[12−3−21−4101]A = \begin{bmatrix} 1 & 2 & -3 \\ -2 & 1 & -4 \\ 1 & 0 & 1 \end{bmatrix}. Consider the system of linear equations Ax=[3b1]Ax = \begin{bmatrix} 3 \\ b \\ 1 \end{bmatrix}. Find the value of bb if the system has infinitely many solutions.

Show answer

Correct answer: -1

See the whole paperTake it as a mock test

Question 16 of 16 in the IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 1 paper sat on 27 Oct 2024, in the September 2024 term (IIT M DIPLOMA AN EXAM QDD2 27 Oct 2024). It carries 2 marks.

More questions from this paper

  1. Q1Choose the correct option(s) from the following:
  2. Q2Consider the system of linear equations Ax = b. Choose all the options from the following which guarantee a unique solu…
  3. Q3Choose all the correct options from the following.
  4. Q4Based on the above data, answer the given subquestions.
  5. Q5Based on the above data, answer the given subquestions.
  6. Q6Write correct answers for the given subquestions.
  7. Q7Write correct answers for the given subquestions.
  8. Q8Write correct answers for the given subquestions.
  9. Q9Find the dimension of the subspaces given in the subquestions.
  10. Q10Find the dimension of the subspaces given in the subquestions.
  11. Q11Find the dimension of the subspaces given in the subquestions.
  12. Q12Consider the following sets. \mathcal{B}_1 = \left{\begin{bmatrix} 3 & -3 \ 0 & 0 \end{bmatrix}, \begin{bmatrix} 0 & 0 …
  13. Q13Consider the following sets. \mathcal{B}_1 = \left{\begin{bmatrix} 3 & -3 \ 0 & 0 \end{bmatrix}, \begin{bmatrix} 0 & 0 …
  14. Q14Consider the following sets. \mathcal{B}_1 = \left{\begin{bmatrix} 3 & -3 \ 0 & 0 \end{bmatrix}, \begin{bmatrix} 0 & 0 …
  15. Q15Answer the given subquestions.