In Exercises 1-12, answer true or false. Justify your answer by providing a counterexample if the statement is false or an outline of a proof if the statement is true. If S = { x 1 , .... x k } is a subset of R n and k ≤ n , then S is a linearly independent set.
In Exercises 1-12, answer true or false. Justify your answer by providing a counterexample if the statement is false or an outline of a proof if the statement is true. If S = { x 1 , .... x k } is a subset of R n and k ≤ n , then S is a linearly independent set.
Solution Summary: The author analyzes whether the statement is true or false. If S=left0,mathrm....0right is a subset of
In Exercises 1-12, answer true or false. Justify your answer by providing a counterexample if the statement is false or an outline of a proof if the statement is true.
If
S
=
{
x
1
,
....
x
k
}
is a subset of
R
n
and
k
≤
n
, then
S
is a linearly independent set.
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