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v = vector((uniform(-10,10),uniform(-10,10),uniform(-10,10)))
v
(6.492721768343095, -5.439388497646638, 5.584200175327345)
A = matrix(RDF,3,[1..9]) v * A
(23.824569005047955, 30.462102451071758, 37.09963589709557)
A*v
(12.366545299031852, 32.279145637103255, 52.19174597517467)