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If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,...

If `A=[{:(2,3,-1),(1,4,2):}]` and `B=[{:(2,3),(4,5),(2,1):}]` then prove that AB and BA are not equal.

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`AB=[(1,-2,3),(-4,2,5)][(2,3),(4,5),(2,1)]`
`=[(2-8+6,3-10+3),(-8+8+10,-12+10+5)]`
`=[(0,-4),(10,3)]`
`BA=[(2,3),(4,5),(2,1)][(1,-2,3),(-4,2,5)]`
`=[(2-12,-4+6,6+15),(4-20,-8+10,12+25),(2-4,-4+2,6+5)]`
`=[(-10,2,21),(-16,2,37),(-2,-2,11)]`
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