Quotient space (linear algebra)

In linear algebra, the quotient of a vector space V {\displaystyle V} by a subspace U {\displaystyle U} is a vector space obtained by "collapsing" U {\displaystyle U} to zero. The space obtained is called a quotient space and is denoted V / U {\displaystyle V/U} (read " V {\displaystyle V} mod U {\displaystyle U} " or " V {\displaystyle V} by U {\displaystyle U} ").