Question:
Suppose U, V and W are finite-dimensional vector spaces and
Last updated: 8/7/2022
Suppose U, V and W are finite-dimensional vector spaces and S∈ L(V, W) and T∈L(U, V). Prove that dim(range(ST)) ≤ min{dim(range(S)), dim(range(T))}.
Last updated: 8/7/2022
Suppose U, V and W are finite-dimensional vector spaces and S∈ L(V, W) and T∈L(U, V). Prove that dim(range(ST)) ≤ min{dim(range(S)), dim(range(T))}.