advanced-linear-algebra
The dual space V*
taught
V* := L(V,F), the space of all linear functionals on V -- itself a vector space, of the same dimension as V when V is finite-dimensional.
Taught in
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The dual space V*
Advanced Linear Algebra
Requires
- linear-functionals required
Required by
- Annihilators required
- Covariant, contravariant, and mixed tensors required
- Dual bases required
- The Riesz representation theorem required
- The dual (transpose) map T* required
- The dual of an infinite-dimensional space 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.