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We enrich Baker and Bowler's theory of matroids over tracts with notions ofvectors and covectors. In the case of oriented matroids, these $F$-vectors and$F$-covectors coincide with the usual signed vectors and signed covectors. Inthe case of matroids over a field $F$, the $F$-covector set resp. $F$-vectorset of an $F$-matroid is a linear subspace of $F^E$ resp. its orthogonalcomplement.

Vectors of matroids over tracts