advanced-linear-algebra

Bases and coordinates for tensors

taught

A basis of V and a basis of W combine into a basis of $V\\otimes W$ of size (dim V)(dim W) -- every tensor is a unique linear combination of these basis tensors, with genuine coordinates.

Taught in

Bases and coordinates for tensors
Advanced Linear Algebra

Requires

the-tensor-product-and-its-universal-property required

Required by

Covariant, contravariant, and mixed tensors required

Local knowledge map

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