Search
- Filter Results
- Location
- Classification
- Include attachments
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(LibreTexts)/32%3A_Math_Chapters/32.06%3A_MatricesThis page introduces matrix nomenclature and operations in linear algebra, covering dimensions, diagonal matrices, and basic algebraic operations, including addition and multiplication. It highlights ...This page introduces matrix nomenclature and operations in linear algebra, covering dimensions, diagonal matrices, and basic algebraic operations, including addition and multiplication. It highlights direct products and key concepts like eigenvalues and orthogonality. Additionally, it discusses determinants, their geometric and algebraic significance, inverse matrices, and conditions for their existence, alongside systematic procedures for calculating determinants.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(LibreTexts)/32%3A_Math_Chapters/32.05%3A_DeterminantsThis page explains determinants in square matrices, focusing on 2x2 and 3x3 matrices. It covers how to calculate determinants, their significance for row reduction and matrix inverses, and provides ex...This page explains determinants in square matrices, focusing on 2x2 and 3x3 matrices. It covers how to calculate determinants, their significance for row reduction and matrix inverses, and provides examples for better understanding. The determinant is vital for identifying reducible matrices and finding their inverses, and the text also demonstrates solving systems of equations using matrix representations.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(LibreTexts)/32%3A_Math_ChaptersThis page covers essential mathematical concepts in physical chemistry, such as complex numbers, probability, vectors, and matrices. It highlights the significance of multivariate calculus, probabilit...This page covers essential mathematical concepts in physical chemistry, such as complex numbers, probability, vectors, and matrices. It highlights the significance of multivariate calculus, probability distributions, and numerical methods in solving experimental and theoretical problems in the physical sciences. Topics like Fourier analysis, partial differentiation, and the binomial distribution are also discussed for their practical applications.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(LibreTexts)/12%3A_Group_Theory_-_The_Exploitation_of_Symmetry/12.04%3A_Symmetry_Operations_as_MatricesThis page discusses how transformation matrices represent symmetry operations within groups, focusing on the C2v point group and its key operations like identity, reflection, and n-fold rotatio...This page discusses how transformation matrices represent symmetry operations within groups, focusing on the C2v point group and its key operations like identity, reflection, and n-fold rotation. It emphasizes that combining two elements must result in another group element, satisfying properties such as associativity and the existence of inverses.
