Dimension formula for a sum of subspaces
= Dimension formula for a sum of subspaces
For finite-dimensional subspaces $U,W$ of a common vector space,
$$
\dim(U+W)+\dim(U\cap W)=\dim U+\dim W.
$$
= Dimension formula for a sum of subspaces
For finite-dimensional subspaces $U,W$ of a common vector space,
$$
\dim(U+W)+\dim(U\cap W)=\dim U+\dim W.
$$