Tensor and multilinear algebra

Sylvain H. Baron · ACM SIGAPL APL Quote Quad · 1981

This paper gives APL models of multilinear forms, tensors, symmetric and antisymmetric tensors, change of basis formula, thus providing a coherent treatment of symmetric and exterior algebras. Properties of determinants are derived from exterior algebra identities, and formal computation of coefficients of the characteristic polynomial of a square matrix follows as a natural consequence.

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