Linear map

Rank

The rank rank⁡𝑇 of a linear map 𝑇 ∈𝖵𝖾𝖼𝗍𝕂(𝑈,𝑉) is the dimension dim⁡im⁡𝑇 of its image. #m/def/linalg For matrices this is equivalent to the dimension of the column space.

Properties

• Rank-nullity theorem

#state/tidy | #lang/en | #SemBr