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`
• 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