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Dual map

The dual of

α : V \to W

is

α^{*} : W^{*} \to V^{*}

defined by

α^{*} (g) = g \circ α

. In finite dimensions,

ker α^{*} = (im α)^{\circ}, im α^{*} = (ker α)^{\circ} .

Table of contents 130 3
- Equality of row rank and column rank Dual map 91 1
  - Simultaneous basis exchange from a nonzero minor Equality of row rank and column rank 47
- Duals of a subspace and its quotient Dual map 21

 Ancestors (6)

 Incoming links (1)

Solution