$ \newcommand{\braket}[1]{\langle #1 \rangle} \newcommand{\abs}[2][]{\left\lvert#2\right\rvert_{\text{#1}}} \newcommand{\ket}[1]{\left\lvert#1 \right.\rangle} \newcommand{\bra}[1]{\langle\left. #1\right\rvert} \newcommand{\braket}[1]{\langle #1 \rangle} \newcommand{\dd}{\text{d}} \newcommand{\dv}[2]{\frac{\dd #1}{\dd #2}} \newcommand{\pdv}[2]{\frac{\partial}{\partial #1}} $
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Let $V$ be a vector space and $S\subseteq V$ be a subset. The span of $S$, written $\text{span }S$ is the intersection of all subspaces of $V$ that contains $S$.
If $V=\text{span }S$, we say $S$ spans $V$

Concepts

Since $S\subseteq V$, the intersection will always be over a nonempty family of subspaces.
$\text{span }S$ is a subspace of $V$, being an intersection of subspaces of $V$.

Used In

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Hypothesis

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Results

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Let $V$ be a vector space and $S\subseteq V$ be a subset. The span of $S$, written $\text{span }S$ is the intersection of all subspaces of $V$ that contains $S$.
If $V=\text{span }S$, we say $S$ spans $V$

Concepts

Since $S\subseteq V$, the intersection will always be over a nonempty family of subspaces.
$\text{span }S$ is a subspace of $V$, being an intersection of subspaces of $V$.

Used In

Coming soon

Hypothesis

Coming soon

Results

Coming soon
FullPage
definition
concepts
used in
hypothesis
results
FullPage
definition
concepts
used in
hypothesis
results
Let $V$ be a vector space and $S\subseteq V$ be a subset. The span of $S$, written $\text{span }S$ is the intersection of all subspaces of $V$ that contains $S$.
If $V=\text{span }S$, we say $S$ spans $V$

Concepts

Since $S\subseteq V$, the intersection will always be over a nonempty family of subspaces.
$\text{span }S$ is a subspace of $V$, being an intersection of subspaces of $V$.

Used In

Coming soon

Hypothesis

Coming soon

Results

Coming soon
Let $V$ be a vector space and $S\subseteq V$ be a subset. The span of $S$, written $\text{span }S$ is the intersection of all subspaces of $V$ that contains $S$.
If $V=\text{span }S$, we say $S$ spans $V$

Concepts

Since $S\subseteq V$, the intersection will always be over a nonempty family of subspaces.
$\text{span }S$ is a subspace of $V$, being an intersection of subspaces of $V$.

Used In

Coming soon

Hypothesis

Coming soon

Results

Coming soon
FullPage
definition
concepts
used in
hypothesis
results