Because these solutions are extensive mathematical proofs and calculations, they are best viewed on specialized academic resource sites:
: Finding a basis and the dimension of a subspace (often solution spaces of systems). kuznetsov reshebnik 20 variant lineinaia algebra
: Determining if a given set forms a linear space. kuznetsov reshebnik 20 variant lineinaia algebra
: Constructing a matrix for a linear transformation in a specific basis. kuznetsov reshebnik 20 variant lineinaia algebra
: A popular repository for Russian technical students that includes full PDF and image-based "reshebniks" for Kuznetsov's Section X .