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MidSol3 - y=3x x y x(y 0 0 y= 1 3 x In short we can write x...

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y= x _ 1 3 _ y= 3 x ) ( 0 0 x' y' ( ) x y ( ) In short, we can write x y A x y B 0 0 . Since the matrix product BA corresponds to the composition of A followed by B , we conclude BA x y = 0 0 , and BA must be the zero-matrix 0 , i.e. BA = 0 0 0 0 . 6. The transformation A maps an arbitrary point
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