Gate cs 2007
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Prince Sindhiya asked Mar 3, 2018 • closed Mar 4, 2018 by Tesla!

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closed as a duplicate of: GATE CSE 2007 | Question: 27

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Prince Sindhiya asked Mar 3, 2018 • closed Mar 4, 2018 by Tesla!

Prince Sindhiya

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Prince Sindhiya

commented Mar 3, 2018

Plzz tell me what is subspace ?and is it present in current gate cse syllabus of linear algebra

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Let $x$ and $y$ be two vectors in a $3$ dimensional space and $<x,y>$ denote their dot product. Then the determinant $det\begin{bmatrix}<x,x> & <x,y>\\ <y,x> & <y,y>\end{bmatrix}$ is zero when $x$ and $y$ are linearly ... $x$ and $y$ are linearly independent is non-zero for all non-zero $x$ and $y$ is zero only when either $x$ or $y$ is zero

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