Question

(c) A marimal linearly independent subset of X is a subset Sex
that becomes linearly dependent every time that a vector of X that
is not already in S is adjoined to S. If
X = {(1,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,0),(0,1,0,1),(0,0,1,1)]
is the set consisting of the six vectors in 4. Do there exist two
different maximal linearly independent subsets of X? If so, find all
of them.
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Answer 1

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