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Linear Maps

Theorem

Dimensionality & Linear Maps

Theorem

Injectivity, surjectivity, and isomorphism are equivalent when Dimension is the Same

Theorem

Inverse to a Linear Map is Unique

Theorem

Isomorphism is a Bijection

Theorem

Kernel and Image are Subspaces

Theorem

Linear Map is Injective iff Kernel is 0

Theorem

Linear maps are defined on a basis

Theorem

Properties of Linear Maps

Theorem

Rank Nullity Theorem