Lecture 14: Orthogonal vectors and subspaces
... onal to its nullspace, and its column space is orthogonal to its left nullspace. row space dimension r ...
... onal to its nullspace, and its column space is orthogonal to its left nullspace. row space dimension r ...
Integral Closure in a Finite Separable Algebraic Extension
... When K ⊆ L is a finite algebraic extension of fields, for any λ ∈ L, we define TrL/K (λ) to be trace of the K-linear map L → L given by λ: it may be computed by choosing a basis for L over K, finding the matrix of the map given by multiplication by λ, and summing the entries of the main diagonal of ...
... When K ⊆ L is a finite algebraic extension of fields, for any λ ∈ L, we define TrL/K (λ) to be trace of the K-linear map L → L given by λ: it may be computed by choosing a basis for L over K, finding the matrix of the map given by multiplication by λ, and summing the entries of the main diagonal of ...
