Matrix Theory

Theoretical Concepts

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• The Geometry of Action: Vector Spaces and the Transformations That Shape Them
• Eigenvalues & Eigenvectors: The Quest for Simplicity in Linear Transformations
• Matrix Similarity: Unveiling Invariant Structures
• The Geometry of Linear Transformations (Part 1)
• The Geometry of Linear Transformations (Part 2)
• Geometric Decompositions: Rotation, Reflection, and Stretch

Computational Aspects

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• Foundations of Matrix Computation: Cost, the Stack, and the LU Decomposition
• Orthogonality and Structure: The QR and Cholesky Decompositions