Spectral Theorem: Diagonalizable Symmetric Matrix
Journal Title: Psychology and Education: A Multidisciplinary Journal - Year 2022, Vol 4, Issue 7
Abstract
In linear algebra, is the canonical forms of a linear transformation. Given a particularly nice basis for the vector spaces in which one is working, the matrix of a linear transformation may also be particularly nice, revealing some information about how the transformation operates on the vector space.The spectral theorem provides a sufficient criterion for the existence of a particular canonical form. Specifically, the spectral theorem states that if A equals the transpose of A, then A is diagonalizable: there exists an invertible matrix B such that B-1 AB is a diagonal matrix.
Authors and Affiliations
Noriebelle Balbontin
Keywords
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- EP ID EP728205
- DOI https://doi.org/10.5281/zenodo.7140908
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