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Title
Congruent diagonalization of symmetric real matrices
Authors
Educational level
Higher Education
Level
medium
Description
The theorem that guarantees the congruent diagonalization of a symmetric real matrix is presented, and this process of diagonalization is described from an operational point of view It is also explained how to use this process to determine if a symmetric real matrix is positive definite, negative definite, positive semidefinite, negative semidefinite, or indefinite. With examples (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Diagonalization
Keywords
Elementary operation, Matrix in echelon form, Gaussian elimination, Symmetric definite matrix
File
UPC-025-TUT-EN.pptx