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To give an explicit example that breaks the column-vector mold: the set of 2x2 matrices with real entries forms a vector space, where each vector is a 2x2 matri
by panda-giddiness 4y ago
To give an explicit example that breaks the column-vector mold: the set of 2x2 matrices with real entries forms a vector space, where each vector is a 2x2 matrix.
- VyseofArcadia 4y agoLet's get even weirder and leave finite dimensions behind. The set of sequences of complex numbers z_n such that the infinite sum from i = 1 to infinity of |z_i|^2 converges.