Matrix calculus

A Gentle Introduction to Tensors

Recalling notations from vector-matrix algebra, we may express (1.1)as x = ￿ e 1 e 2 ￿ ￿ x1 x2 ￿ (1.2) For now we will use row vectors to store basis vectors and column vectors to store coordinates. Later we will abandon expressions such as (1.2)infavor of more compact and more general notations. 1.2 Transformation of Bases Consider two ...

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