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Vector Spaces
Subspaces, basis, dimension, rank, and the rank-nullity theorem.
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The span of
{
⟨
1
,
0
⟩
,
⟨
0
,
1
⟩
}
\{\langle 1,0\rangle, \langle 0,1\rangle\}
{⟨
1
,
0
⟩
,
⟨
0
,
1
⟩}
is:
Span
A single point.
A line through the origin.
All of
R
2
\mathbb{R}^2
R
2
.
A plane in
R
3
\mathbb{R}^3
R
3
.
Q1
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