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If A=[{:(1,2),(-1,3):}]B=[{:(4,0),(1,5):...

If `A=[{:(1,2),(-1,3):}]B=[{:(4,0),(1,5):}],C=[{:(2,0),(1,-2):}]` a=4 and b=-2, then show that (i) (a+b)B=aB+bB (ii) a(C-A)=aC-aA (iii) `(bA)^(T)=bA^(T)`

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