Linear transformations are mappings on a vector space. The theorem states that the sum of rank of the transformation and the dimension of the kernel (also called null space) equals the dimension of the vector space which is the domain of the linear transformation.
rank (T) + null (T) = dim (V), where T is a linear transformation on V.
#ranknullitytheorem #rank #nullity #kernel #nullspace #dimension #vectorspace #linearalgebra
22 июн 2024
