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Mathematics for Data Science II · End Term · 8 Aug 2021 · May 2021 term

Question 4: Consider the system of linear equations given by Ax = b, …

Question 4

+4 marksOne correct option

Consider the system of linear equations given by Ax=bAx = b,

where A=[1032457819],x=[x1x2x3], and b=[41134].\text{where } A = \begin{bmatrix} 1 & 0 & 3 \\ 2 & 4 & 5 \\ 7 & 8 & 19 \end{bmatrix}, \quad x = \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix}, \text{ and } b = \begin{bmatrix} 4 \\ 11 \\ 34 \end{bmatrix}.

The row echelon form of the matrix AA is given by R=[10301−14000]R = \begin{bmatrix} 1 & 0 & 3 \\ 0 & 1 & -\frac{1}{4} \\ 0 & 0 & 0 \end{bmatrix}.

Answer the subquestions using the given information.

  1. A
  2. B
  3. C
  4. D
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Correct answer

  • C
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Question 4 of 12 in the IIT Madras BS Mathematics for Data Science II (Maths 2) End Term paper sat on 8 Aug 2021, in the May 2021 term (IIT M TERM FINAL EXAM POD21TEANQP2 8 Aug 2021). It carries 4 marks.

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