Derivation of the Characteristic Equation | Linear Algebra -- Eigenvalues and Eigenvectors
In this video, we look at the intuition behind eigenvalues and eigenvectors. In particular, we offer a derivation of the characteristic equation and relate to this to the geometric meaning behind eigenvalues and eigenvectors. We derive the characteristic equation for calculating eigenvalues, namely, the determinant of A-lambda*I =0, without using any fancy machinary other than the familiar techniques in Linear Algebra.
Eigenvalues and Eigenvectors have important applications in pure mathematics, applied mathematics, engineering, data science, biotechnology, and many other areas.
The notes for the video can be found here: https://www.scribd.com/document/46909...
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