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{\bf Math 226: Quiz\hfill Feb.\ 7, 1992}

Show your work and circle your final answer.

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1. Choose a maximal set of linearly independent vectors from
$$\displaylines{
\X_1 = [1,0,1,0,1],\quad \X_2 = [2,1,2,1,2],\cr
\X_3 = [1,1,1,1,1],\quad  \X_4 = [0,1,0,1,0]\cr
}$$


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2. Use the Gram-Schmidt process to produce an orthonormal set of vectors
from
$$\eqalign{
\X_1 &= [1,0,1,0]\cr
\X_2 &= [0,1,1,0]\cr
\X_3 &= [0,1,0,1]\cr
}$$


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