Vector Fundamentals
Vector Fundamentals
Linear Algebra
Linear Algebra for AI & ML
This course includes
8 articles
57 mins reading time
8 videos • 8 hr 3 mins
Course content
8 sections • 49 topics • Read: 57 mins • Video: 8 hr 3 mins
Vector Fundamentals
Vector
Transpose
Length of Vector
Direction of Vector
Vector Space
Vector Operations
Linear Combination
Linear Independence
Span
Basis
Orthogonal Vectors
Orthonormal Vectors
Orthonormal Basis
Vector Fundamentals | Vector Space | Span | Basis | Linear Independence | Orthogonal | Orthonormal
Matrix Operations
Matrix
Transpose
Rank
Matrix Operations
Square Matrix
Operations of Square Matrix
Orthogonal Matrix
Matrix Addition| Multiplication| Linear Transformation| Determinant| Inverse| Orthogonal Matrix.
Eigen Value Decomposition
Linear Transformation
Eigen Vector
Eigen Value (\(\lambda\))
Characteristic Equation
Key Properties of Eigen Values and Eigen Vectors
Eigen Value Decomposition
Spectral Decomposition
Applications of Eigen Value Decomposition
Eigen Value Decomposition for Machine Learning | Diagonalization | Spectral Decomposition| Explained
Singular Value Decomposition
Singular Value Decomposition (SVD)
Properties of Singular Values
Applications of SVD
Low Rank Approximation
Singular Value Decomposition (SVD) for Machine Learning | Low Rank Approximation | Explained
Principal Component Analysis
Principal Component Analysis (PCA)
PCA Algorithm
Principal Component Analysis (PCA) for Dimensionality Reduction | Machine Learning | Explained
Vector & Matrix Calculus
Vector Derivative
Jacobian Matrix
Hessian Matrix
Matrix Derivative
Vector & Matrix Calculus for Machine Learning | Gradient | Jacobian | Hessian | Explained
Vector Norms
Vector Norm
Matrix Norm
Vector and Matrix Norms for Machine Learning | Manhattan | Euclidean | Frobenius | Explained
Hyperplane
Hyperplane
Equation of a Hyperplane
Distance from Origin
Half Spaces
Applications of Equation of Hyperplane
Equation of a Hyperplane for Machine Learning | Half Spaces | Explained with Example
Matrix Operations
Matrix Operations
Eigen Value Decomposition
Eigen Values, Eigen Vectors, & Eigen Value Decomposition
Singular Value Decomposition
Singular Value Decomposition
Principal Component Analysis
Principal Component Analysis
Vector & Matrix Calculus
Vector & Matrix Calculus
Vector Norms
Vector & Matrix Norms
Hyperplane
Equation of a Hyperplane