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
Related Articles
- EP ID EP728205
- DOI https://doi.org/10.5281/zenodo.7140908
- Views 51
- Downloads 0
Enhancing Reading Skills and Academic Performance in Grade 7 Students: A Holistic Investigation
The study examined the reading skills and academic performance of 65 Grade 7 students of Santa Maria National High School for school year 2022-2023. The quasi-experimental time series method technique was used in collect...
Filipino Trending TikTok on Outfit Ideas, Lifestyle Influence and Factors on Body Image of Selected Young Adults in Bacoor City, Cavite
The purpose of study is to identify the correlation between watching Filipino trending TikTok outfit ideas to the aspects of body image and its lifestyle influence, particularly among young adults in Bacoor, Cavite. Body...
Knowledge, Attitude, and Practices Towards Laboratory Safety Measures among Notre Dame of Marbel University Medical Technology Students
Medical technology personnel have increased susceptibility to occupational hazards due to lack of research on post-measurement of Occupational Safety and Health Administration (OSHA) Knowledge, Attitude and Practices (KA...
Entrepreneurial Orientation, Product Innovation, and Differentiation Strategies as Predictors of Organizational Performance of Small Coffee Shops in ParaĊaque City
Research has been done in Paranaque City on the relationship between organizational performance and entrepreneurial orientation, product innovation, and differentiation strategies. The purpose of this study was to identi...
Leadership Styles as Predictors of Leadership Effectiveness Among Filipino Youth Leaders
Youth leaders nowadays are well-versed in the difficulties affecting the world, and they are increasingly concerned with finding long-term solutions to these social, political, and environmental problems. Therefore, in t...