Question
Show that the following vectors
are linearly independent.
Answer :
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Consider a linear combination of the given vectors (a\begin{bmatrix}1\0\0\end{bmatrix} + b\begin{bmatrix}0\1\0\end{bmatrix} + c\begin{bmatrix}0\1\1\end{bmatrix} = \begin{bmatrix}0\0\0\end{bmatrix}). Adding the vectors gives (\begin{bmatrix}
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