advanced-linear-algebra
L(V,W) is itself a vector space
taught
The set of all linear maps from V to W, under pointwise addition and scaling, satisfies the vector space axioms in its own right.
Taught in
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L(V,W) is itself a vector space
Advanced Linear Algebra
Requires
- what-makes-a-transformation-linear required
Required by
- Bilinear forms required
- Direct sums of maps and block matrices required
- Invariant subspaces required
- Linear functionals required
- The algebra L(V): composition, powers, polynomials in T 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.