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vector-analysis

A matrix as a linear map

taught

Taught in

Matrices, determinants, and linear maps
Advanced Multivariable Calculus

Requires

Nothing — this is foundational.

Required by

Eigenvalues of a symmetric matrix required
The derivative as the best linear approximation required
The determinant as signed volume required
What a tensor is — transformation under rotation required

Local knowledge map

Local knowledge map

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.