Generalized inverse

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Explores matrix inverses, their properties, calculations, and determinants of invertibility.

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Explores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.

Explores exact methods for estimating the term structure in interest rate models, emphasizing the importance of choosing the right discount curve.

Covers the convexity proof of the sum of the eigenvalues of the inverse matrix.

Explores Singular Value Decomposition, matrix solutions, and least squares regression in data analysis.

Covers the concept of element inverse for multiplication in complex numbers.

Introduces the concept of a group and its properties through illustrative examples.