The Geometry of Vectors and Matrices: Eigenvalues and Eigenvectors
نویسنده
چکیده
This chapter introduces a variety of tools from matrix algebra and multivariate statistics useful in the analysis of selection on multiple characters. Our primary intent is to introduce the reader to the idea of vectors and matrices as geometric structures, viewing matrix operations as transformations converting a vector into a new vector by a change in geometry (rotation and scaling). The eigenvalues and their associated eigenvectors of a matrix describe the geometry of the transformation associated with that matrix.
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