Linear Isomorphisms
Definition
A linear transformation $T$ is an isomorphism (a linear isomorphism) if it is invertible. Two vector spaces $V$ and $W$ are isomorphic (or linearly isomorphic) if there exists an isomorphism from $V$ to $W$.
A linear transformation $T$ is an isomorphism (a linear isomorphism) if it is invertible. Two vector spaces $V$ and $W$ are isomorphic (or linearly isomorphic) if there exists an isomorphism from $V$ to $W$.