WildLinAlg12: Generalized dilations and eigenvectors

WildLinAlg12: Generalized dilations and eigenvectors

WildLinAlg: A first course in Linear Algebra

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By studying how Bob would view a dilation in Rachel's framework, we are led to the notion of a generalized dilation. Going from one basis to the other involves a 'Change of basis matrix'. We show how these ideas lead naturally to the important concepts of eigenvectors and associated eigenvalues, and give examples of finding them.
By studying how Bob would view a dilation in Rachel's framework, we are led to the notion ...Read More