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Let A=[(1,0,0),(2,1,0),(3,2,1)], it U1, ...

Let `A=[(1,0,0),(2,1,0),(3,2,1)], it U_1, U_2 and U_3` are column matrices satisfying `AU_1 =[(1),(0),(0)], AU_2=[(2),(3),(0)] and AU_3=[(2),(3),(1)] and U is a 3xx3` matrix when columns are `U_1,U_2,U_3` now answer the following question: The value of `|U|` is (A) 3 (B) -3 (C) `3/2` (D) 2

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