Find two different bases for which both contain the vectors and .

The sets and are both bases of containing and . We can see they are bases since

Hence, they are each sets of three independent vectors in ; hence, are both bases.

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Stumbling Robot

A Fraction of a Dot
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Find two bases for *R*^{3} containing *(0,1,1), (1,1,1)*

Find two different bases for which both contain the vectors and .

The sets and are both bases of containing and . We can see they are bases since

Hence, they are each sets of three independent vectors in ; hence, are both bases.