Quotient space (linear algebra)

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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} "). Alternatively phrased, the quotient space V / U {\displaystyle V/U} is the set of all affine subsets of V {\displaystyle V}...

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