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.
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.