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Mark 2024-02-15 07:28:17 -08:00
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Advanced/Introduction to Quantum/parts/00 vectors.tex
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@ -99,7 +99,7 @@ where $a_i$ are arbitrary real numbers.
\definition{Linear dependence} \definition{Linear dependence}
We say a set of vectors $\{v_1, v_2, ..., v_k\}$ is \textit{linearly independent} if we can write $0$ as a nontrivial We say a set of vectors $\{v_1, v_2, ..., v_k\}$ is \textit{linearly dependent} if we can write $0$ as a nontrivial
linear combination of these vectors. For example, the following set is linearly dependent linear combination of these vectors. For example, the following set is linearly dependent
\begin{equation*} \begin{equation*}
\Bigl\{ \Bigl\{