Question

please make sure it is in the field z5 for a

1. (a) With F = Z5, compute the inverse of 10 1 1 0 1 2). Make sure your (1 2 1] answer only has 0, 1, 2, 3, 4 in it. il (21) 1-1 (b) With F = C give all solutions to ( | 1 0 1 į 4+1 X2 (-1+i 6 + i

Answer 1

let B is an inverse of À 1 = A * 0 .: ه ه ا ا = 0 + الد 2 ا 0 | | | ا : و و و لا ه ه م ) 2 ا م و 2 ل ا 7s ش ا = - : in Zc -2=3 1 0 ه ا ) ا3 . الا ا 3 ه ا ا - ا

011: :](5)= 1,333 24 + 1 +(4+1)x J ex] = [67] .6+ : -x, +ixy = fitimo 4 + x +(4+0) 2y =6+i - ® from equati , equating the real and imaginary parts, weget Putting these values in equation ③ 1 + xy +(4+0).1 = 6+1 t+ + + = stic .X2 +5+€ = 6+é. mg = 6+i-5-i fence solution is x=1, x2 =1, 4 = 1
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