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Mathematics for Data Science II · Quiz 2 · 2 Apr 2023 · January 2023 term

Question 11: Consider the system of linear equations AX = b, where A …

Question 11

+2 marksNumerical answer

Consider the system of linear equations AX=bAX = b, where A=(1111011−11)A = \begin{pmatrix} 1 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & -1 & 1 \end{pmatrix}, X=(xyz)X = \begin{pmatrix} x \\ y \\ z \end{pmatrix} and b=(111)b = \begin{pmatrix} 1 \\ 1 \\ 1 \end{pmatrix}.

Let LL denote the set of all solutions of the above system. Clearly, LL forms an affine space. Let WW denote the subspace corresponding to LL. Answer the given sub questions.

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Correct answer: 1

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Question 11 of 13 in the IIT Madras BS Mathematics for Data Science II (Maths 2) Quiz 2 paper sat on 2 Apr 2023, in the January 2023 term (IIT M FOUNDATION AN2 EXAM QPF2 02 Apr 2023). It carries 2 marks.

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