Tuesday, 14 August 2018
6:45 PM
If S is a finite non-empty set of vectors in a vector space, then span(S) is a subspace of V.
-> S is a spanning set of span(S)
Column Space
The subspace of spanned by the columns of an matrix
is called the column space of the …%20is%20a%20subspace%20of%20V._files/image001.png){kind=small}
Linear Independence
Given a set of vectors %20is%20a%20subspace%20of%20V._files/image002.png){kind=small}
- If the only solutions of is then we can say that S is a linearly
independent set, and that the vectors in S are linearly independent
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- If we can find
scalars that are not zero then we say that S is a
linearly dependent set, and that the vectors in S are linearly dependent
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