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Consider three vectors $x=\begin{bmatrix}1\\2 \end{bmatrix}, y=\begin{bmatrix}4\\8 \end{bmatrix},z=\begin{bmatrix}3\\1 \end{bmatrix}$. Which of the folowing statements is true

  1. $x$ and $y$ are linearly independent
  2.  $x$ and $y$ are linearly dependent
  3.  $x$ and $z$ are linearly dependent
  4. $y$ and $z$ are linearly dependent
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In this x and y are linearly dependent.
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Ans: B) x and y are linearly dependent

Since y = 2x

 

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