Engineering Math
Matrix
Matrix : Basic : Row, Colum, Index
Matrix : Basic : Dimension/Size
Matrix : Basic : Multiplication
Matrix : Application : Linear Transformation
Matrix : Application : Linear Transformation : Example : 3D Translation
Matrix : Application : Linear Transformation : Example : 3D Rotation around Single Axis
Matrix : Application : Linear Transformation : Example : 3D Rotation around Three Axis
Matrix : Application : Linear Transformation : Example : 3D Rotation and Translation
Matrix : Application : Linear Transformation : Example : 3D Transformation of Two Segments
Matrix : Application : Simultaneous Equation
Matrix : Application : Stochastics
Matrix : Application : Neural Network
Matrix : Application : Circuit Analysis
Matrix : Application : Adjacency Matrix (Graph Theory)
Matrix : Application : FEM(Finite Element Method) : Simple Spring Model
Matrix : Application : FEM(Finite Element Method) : More Complicated Spring Model
Matrix : Application : FEM(Finite Element Method) : Truss
Matrix : Intuitive Property of a Matrix
Matrix : Eigenvector and Eigenvalue
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Matrix : Determinant
Matrix : Rank
Matrix : Geometric/Graphical Meaning of Eigenvalue and Determinant
Matrix : Complex Numbers
Matrix : Decomposition
Matrix : LU Decomposition
Matrix : Conjugate Transpose, Hermitian Conjugate
Matrix : Hadamard
Matrix : Hermitian Matrix
Matrix : Least Square Method
Matrix : Orthogonal Matrix
Matrix : Orthonomality
Matrix : Product/Multiplication
Matrix : Singular Matrix
Matrix : Singular Value Decomposition (SVD)
Matrix : Unitary Matrix
Vector : Dimension/Size
Vector : Cross Product
Vector : Inner Product, Dot Product
Vector : Linear Independence
Vector : Multiplication
Vector : Projection : Onto a Line
Vector : Scalar Triple Product
Vector Field