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=== duality in LA and VEA ===

RTT could be said to be practiced in two major flavors: LA, or Linear Algebra, and VEA, or Varianced Exterior Algebra. The former uses only vectors, covectors, and matrices. The latter uses multivectors and multicovectors instead of matrices, where a key example of a multivector is a "wedgie". Each RTT flavor has a notion of a dual.

RTT could be said to be practiced in two major flavors: LA, or Linear Algebra, and [[User:Cmloegcmluin/VEA|VEA]], or Varianced Exterior Algebra. The former uses only vectors, covectors, and matrices. The latter uses multivectors and multicovectors instead of matrices, where a key example of a multivector is a "wedgie". Each RTT flavor has a notion of a dual.

LA's dual it is the null-space operation, which takes you back and forth between the two matrix representations of a temperament: its mapping and its comma-basis<ref>with the stipulation that the anti-null-space operation that gets you from the comma-basis back to the mapping requires an anti-transpose sandwich.</ref>. VEA's dual, on the other hand, is closely related to the Grassman/orthogonal complement in exterior algebra as well as the complement operation from MLA (multilinear algebra) which is sometimes referred to as the "Hodge dual" or "Hodge star", and it takes you back and forth between the two multi(co)vector representations of a temperament: the multimap and the multicomma.

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 === duality in LA and VEA ===
-RTT could be said to be practiced in two major flavors: LA, or Linear Algebra, and VEA, or Varianced Exterior Algebra. The former uses only vectors, covectors, and matrices. The latter uses multivectors and multicovectors instead of matrices, where a key example of a multivector is a "wedgie". Each RTT flavor has a notion of a dual.
+RTT could be said to be practiced in two major flavors: LA, or Linear Algebra, and [[User:Cmloegcmluin/VEA|VEA]], or Varianced Exterior Algebra. The former uses only vectors, covectors, and matrices. The latter uses multivectors and multicovectors instead of matrices, where a key example of a multivector is a "wedgie". Each RTT flavor has a notion of a dual.
 LA's dual it is the null-space operation, which takes you back and forth between the two matrix representations of a temperament: its mapping and its comma-basis<ref>with the stipulation that the anti-null-space operation that gets you from the comma-basis back to the mapping requires an anti-transpose sandwich.</ref>. VEA's dual, on the other hand, is closely related to the Grassman/orthogonal complement in exterior algebra as well as the complement operation from MLA (multilinear algebra) which is sometimes referred to as the "Hodge dual" or "Hodge star", and it takes you back and forth between the two multi(co)vector representations of a temperament: the multimap and the multicomma.