Linear Algebra Basics

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Table of contents

• Basic Matrix Definitions
• Row Echelon Form / Reduced Row Echelon Form
• Systems of Linear Equations
• Invertible Matrix
• Vector Space
• Linear Independence
• Basis and Rank
• Linear Mappings
• Image and Kernel
• Inner Products and Norms
• Symmetric, Positive Definite Matrix
• Angles and Orthogonality
• Orthogonal Projections
• Determinants
• Diagonal of a Matrix / Trace / Triangular Matrix
• Eigenvalues / Eigenvectors
• Singular Value Decomposition
• Differential Vector Calculus