$ \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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Number of Elements in a Linearly Independent Set

Let $V$ be a vector space spanned by a finite set of vectors $\{u_1, \dots, u_m\}$. Then any linearly independent set in $V$ has at most $m$ elements.

Concepts

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Hypothesis

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Results

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Proof

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Number of Elements in a Linearly Independent Set

Let $V$ be a vector space spanned by a finite set of vectors $\{u_1, \dots, u_m\}$. Then any linearly independent set in $V$ has at most $m$ elements.

Concepts

Coming soon

Hypothesis

Coming soon

Results

Coming soon

Proof

Coming soon
FullPage
result
concepts
hypothesis
implications
proof
FullPage
result
concepts
hypothesis
implications
proof

Number of Elements in a Linearly Independent Set

Let $V$ be a vector space spanned by a finite set of vectors $\{u_1, \dots, u_m\}$. Then any linearly independent set in $V$ has at most $m$ elements.

Concepts

Coming soon

Hypothesis

Coming soon

Results

Coming soon

Proof

Coming soon

Number of Elements in a Linearly Independent Set

Let $V$ be a vector space spanned by a finite set of vectors $\{u_1, \dots, u_m\}$. Then any linearly independent set in $V$ has at most $m$ elements.

Concepts

Coming soon

Hypothesis

Coming soon

Results

Coming soon

Proof

Coming soon
FullPage
result
concepts
hypothesis
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proof