Orthogonality and Orthonormality
We know that the word orthogonal is kind of like the word perpendicular. It implies that two vectors have an angle of ninety degrees or half pi radians between them. But this term means much more than this, as we can have orthogonal matrices, or entire subspaces that are orthogonal to one another. Beyond this, we must understand the term orthonormal, and why orthonormal sets of vectors are important. Let's check it out!
Script by Howard Whittle
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
EMAIL► ProfessorDaveExplains@gmail.com
PATREON► http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
Видео Orthogonality and Orthonormality канала Professor Dave Explains
Script by Howard Whittle
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
EMAIL► ProfessorDaveExplains@gmail.com
PATREON► http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
Видео Orthogonality and Orthonormality канала Professor Dave Explains
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
The Gram-Schmidt ProcessThe determinant | Chapter 6, Essence of linear algebraFunction Orthogonality Explained14. Orthogonal Vectors and SubspacesComplex, Hermitian, and Unitary Matrices7 things I wish I knew at 20Vector Fields, Divergence, and CurlDot products and duality | Chapter 9, Essence of linear algebraInverse matrices, column space and null space | Chapter 7, Essence of linear algebraFinding Eigenvalues and EigenvectorsDiagonalizationWhat Would You See If You Fell Into Neptune? (4K UHD)17. Orthogonal Matrices and Gram-SchmidtLinear combinations, span, and basis vectors | Chapter 2, Essence of linear algebraBasis and DimensionGram-Schmidt OrthogonalizationAre The Two Vectors Parallel, Orthogonal, or Neither?Manipulating Matrices: Elementary Row Operations and Gauss-Jordan EliminationIntroduction to Vectors and Their Operations