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[AMR] Many learnings from exercises
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\shortdefinition[Vec Line Eq] $\vec{p} + \lambda \vec{d}$
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\shortdefinition[Determinant] $ad - bc$ for mat $[a, b; c, d]$
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\shortdefinition[Eigenvalues] Solve $\det(M - \lambda I) = 0$
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\subsection{Error Propagation}
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\label{sec:error-propagation}
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For functions $\vec{f}(\vec{x}) = \mat{A}\vec{x}$, the \bi{linear error propagation}
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is given by $\Sigma^f = A \Sigma^x \A^\top$, with $\Sigma^x$ the uncertanty of $\vec{x}$ (covariance mat.)
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is given by $\Sigma^f = A \Sigma^x A^\top$, with $\Sigma^x$ the uncertanty of $\vec{x}$ (covariance mat.)
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