HW7_solns - MATH 3360 Sketch of solutions for Assignment 7...

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MATH 3360 Sketch of solutions for Assignment 7 12D.47 + (0,0) (0,1) (1,0) (1,1) (0,0) (0,0) (0,1) (1,0) (1,1) (0,1) (0,1) (0,0) (1,1) (1,0) (1,0) (1,0) (1,1) (0,0) (0,1) (1,1) (1,1) (1,0) (0,1) (0,0) * (0,0) (0,1) (1,0) (1,1) (0,0) (0,0) (0,0) (0,0) (0,0) (0,1) (0,0) (0,1) (0,0) (0,1) (1,0) (0,0) (0,0) (1,0) (1,0) (1,1) (0,0) (0,1) (1,0) (1,1) 12D.49 Z 10 = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } Z 2 × Z 5 = { (0 , 0) , (0 , 1) , (0 , 2) , (0 , 3) , (0 , 4) , (1 , 0) , (1 , 1) , (1 , 2) , (1 , 3) , (1 , 4) } ψ (0) = (0 , 0) ψ (1) = (1 , 1) ψ (2) = (0 , 2) ψ (3) = (1 , 3) ψ (4) = (0 , 4) ψ (5) = (1 , 0) ψ (6) = (0 , 1) ψ (7) = (1 , 2) ψ (8) = (0 , 3) ψ (9) = (1 , 4) 12D.52 [graded out of 5 points] ker( ψ ) = { [0] , [12] } im( ψ ) = { (0 , 0) , (1 , 1) , (2 , 2) , (3 , 3) , (4 , 0) , (5 , 1) , (0 , 2) , (1 , 3) , (2 , 0) , (3 , 1) , (4 , 2) , (5 , 3) } 12D.54 i) 4 ii) 4 1
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1.6.3 [graded out of 3 points] 1) 2 2) 1 3) 0 1.6.7 When receiving u , you don’t know whether the message was
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HW7_solns - MATH 3360 Sketch of solutions for Assignment 7...

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