Index of fundamental matrix properties, such as rank, dimensions, and transposing # 🧭 Index - [[Diagonal Matrix]] - A square matrix where all off-diagonal entries are zero - [[Dimensions of a Matrix]] - The size of a matrix - [[Identity Matrix]] - A special square matrix with 1s on the main diagonal and 0s elsewhere - [[Matrix Addition & Scalar Multiplication]] - Rules that define how matrices can be added together and scaled by real numbers, preserving structure - [[Matrix Notation]] - The conventions used to represent matrices, entries, indexing, and dimensions - [[Matrix Solutions & Consistency]] - Describes when a linear system has no solution (inconsistent), a unique solution, or infinitely many solutions - [[Motivation for Matrix Multiplication]] - Explains how matrix multiplication models systems of equations and linear combinations of vectors - [[Rank]] - The number of pivot positions in a matrix - [[Row & Columns Vectors]] - A row vector is 1×n, a column vector is m×1; they represent linear equations and points in space - [[Square Matrix]] - A matrix with the same number of rows and columns - [[Sub-Matrix]] - A smaller matrix from a larger matrix - [[Transposing Matrices]] - The process of swapping a matrix's rows and columns - [[Triangular Matrices]] - Square matrices where all entries below or above the main diagonal are zero - [[Zero Matrix]] - A matrix where every entry is 0 --- > 🗂️ You're browsing Math & Matter. [Star it on GitHub](https://github.com/rajeevphysics/Obsidian-MathMatter) to follow updates and support open learning. ---