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Project: Peter's Files
Views: 53
Visibility: Unlisted (only visible to those who know the link)
Kernel: SageMath (stable)
def HighestEntry(Matrix): List = sorted([Matrix[0,0],Matrix[0,1],Matrix[1,0],Matrix[1,1]]) return List[3] def LowestEntry(Matrix): List = sorted([Matrix[0,0],Matrix[0,1],Matrix[1,0],Matrix[1,1]]) return List[0]
count1 = 0 count2 = 0 for a in [-20..20]: A_1 = matrix(QQ,[[a+0,a+1],[a+2,a+3]]) A_2 = matrix(QQ,[[a+0,a+1],[a+3,a+2]]) A_3 = matrix(QQ,[[a+0,a+2],[a+1,a+3]]) A_4 = matrix(QQ,[[a+0,a+2],[a+3,a+1]]) A_5 = matrix(QQ,[[a+0,a+3],[a+1,a+2]]) A_6 = matrix(QQ,[[a+0,a+3],[a+2,a+1]]) A_7 = matrix(QQ,[[a+1,a+2],[a+3,a+0]]) A_8 = matrix(QQ,[[a+1,a+2],[a+0,a+3]]) A_9 = matrix(QQ,[[a+1,a+3],[a+2,a+0]]) A_10 = matrix(QQ,[[a+1,a+3],[a+0,a+2]]) A_11 = matrix(QQ,[[a+1,a+0],[a+2,a+3]]) A_12 = matrix(QQ,[[a+1,a+0],[a+3,a+2]]) A_13 = matrix(QQ,[[a+2,a+0],[a+1,a+3]]) A_14 = matrix(QQ,[[a+2,a+0],[a+3,a+1]]) A_15 = matrix(QQ,[[a+2,a+1],[a+0,a+3]]) A_16 = matrix(QQ,[[a+2,a+1],[a+3,a+0]]) A_17 = matrix(QQ,[[a+2,a+3],[a+1,a+0]]) A_18 = matrix(QQ,[[a+2,a+3],[a+0,a+1]]) A_19 = matrix(QQ,[[a+3,a+0],[a+2,a+1]]) A_20 = matrix(QQ,[[a+3,a+0],[a+1,a+2]]) A_21 = matrix(QQ,[[a+3,a+1],[a+2,a+0]]) A_22 = matrix(QQ,[[a+3,a+1],[a+0,a+2]]) A_23 = matrix(QQ,[[a+3,a+2],[a+1,a+0]]) A_24 = matrix(QQ,[[a+3,a+2],[a+0,a+1]]) A = [A_1,A_2,A_3,A_4,A_5,A_6,A_7,A_8,A_9,A_10,A_11,A_12,A_13,A_14,A_15,A_16,A_17,A_18,A_19,A_20,A_21,A_22,A_23,A_24] for b in [-20..20]: B_1 = matrix(QQ,[[b+0,b+1],[b+2,b+3]]) B_2 = matrix(QQ,[[b+0,b+1],[b+3,b+2]]) B_3 = matrix(QQ,[[b+0,b+2],[b+1,b+3]]) B_4 = matrix(QQ,[[b+0,b+2],[b+3,b+1]]) B_5 = matrix(QQ,[[b+0,b+3],[b+1,b+2]]) B_6 = matrix(QQ,[[b+0,b+3],[b+2,b+1]]) B_7 = matrix(QQ,[[b+1,b+2],[b+3,b+0]]) B_8 = matrix(QQ,[[b+1,b+2],[b+0,b+3]]) B_9 = matrix(QQ,[[b+1,b+3],[b+2,b+0]]) B_10 = matrix(QQ,[[b+1,b+3],[b+0,b+2]]) B_11 = matrix(QQ,[[b+1,b+0],[b+2,b+3]]) B_12 = matrix(QQ,[[b+1,b+0],[b+3,b+2]]) B_13 = matrix(QQ,[[b+2,b+0],[b+1,b+3]]) B_14 = matrix(QQ,[[b+2,b+0],[b+3,b+1]]) B_15 = matrix(QQ,[[b+2,b+1],[b+0,b+3]]) B_16 = matrix(QQ,[[b+2,b+1],[b+3,b+0]]) B_17 = matrix(QQ,[[b+2,b+3],[b+1,b+0]]) B_18 = matrix(QQ,[[b+2,b+3],[b+0,b+1]]) B_19 = matrix(QQ,[[b+3,b+0],[b+2,b+1]]) B_20 = matrix(QQ,[[b+3,b+0],[b+1,b+2]]) B_21 = matrix(QQ,[[b+3,b+1],[b+2,b+0]]) B_22 = matrix(QQ,[[b+3,b+1],[b+0,b+2]]) B_23 = matrix(QQ,[[b+3,b+2],[b+1,b+0]]) B_24 = matrix(QQ,[[b+3,b+2],[b+0,b+1]]) B=[B_1,B_2,B_3,B_4,B_5,B_6,B_7,B_8,B_9,B_10,B_11,B_12,B_13,B_14,B_15,B_16,B_17,B_18,B_19,B_20,B_21,B_22,B_23,B_24] for i in [0..23]: for j in [0..23]: C = A[i]*B[j] C_List = sorted([C[0,0], C[0,1], C[1,0], C[1,1]]) count1 = count1 + 1 if (C_List[0] +1 == C_List[1]) and (C_List[1] +1 == C_List[2]) and (C_List[2] +1 == C_List[3]): count2 = count2 + 1 show(count2,'.........',A[i],B[j],'=',C)
1.........(20181719)(2134)=(94929193)\renewcommand{\Bold}[1]{\mathbf{#1}}1 \verb|.........| \left(\begin{array}{rr} -20 & -18 \\ -17 & -19 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ -3 & -4 \end{array}\right) \verb|=| \left(\begin{array}{rr} 94 & 92 \\ 91 & 93 \end{array}\right)
2.........(20181719)(1243)=(92949391)\renewcommand{\Bold}[1]{\mathbf{#1}}2 \verb|.........| \left(\begin{array}{rr} -20 & -18 \\ -17 & -19 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ -4 & -3 \end{array}\right) \verb|=| \left(\begin{array}{rr} 92 & 94 \\ 93 & 91 \end{array}\right)
3.........(19171820)(4312)=(93919294)\renewcommand{\Bold}[1]{\mathbf{#1}}3 \verb|.........| \left(\begin{array}{rr} -19 & -17 \\ -18 & -20 \end{array}\right) \left(\begin{array}{rr} -4 & -3 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 93 & 91 \\ 92 & 94 \end{array}\right)
4.........(19171820)(3421)=(91939492)\renewcommand{\Bold}[1]{\mathbf{#1}}4 \verb|.........| \left(\begin{array}{rr} -19 & -17 \\ -18 & -20 \end{array}\right) \left(\begin{array}{rr} -3 & -4 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 91 & 93 \\ 94 & 92 \end{array}\right)
5.........(18201917)(4312)=(92949391)\renewcommand{\Bold}[1]{\mathbf{#1}}5 \verb|.........| \left(\begin{array}{rr} -18 & -20 \\ -19 & -17 \end{array}\right) \left(\begin{array}{rr} -4 & -3 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 92 & 94 \\ 93 & 91 \end{array}\right)
6.........(18201917)(3421)=(94929193)\renewcommand{\Bold}[1]{\mathbf{#1}}6 \verb|.........| \left(\begin{array}{rr} -18 & -20 \\ -19 & -17 \end{array}\right) \left(\begin{array}{rr} -3 & -4 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 94 & 92 \\ 91 & 93 \end{array}\right)
7.........(17192018)(2134)=(91939492)\renewcommand{\Bold}[1]{\mathbf{#1}}7 \verb|.........| \left(\begin{array}{rr} -17 & -19 \\ -20 & -18 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ -3 & -4 \end{array}\right) \verb|=| \left(\begin{array}{rr} 91 & 93 \\ 94 & 92 \end{array}\right)
8.........(17192018)(1243)=(93919294)\renewcommand{\Bold}[1]{\mathbf{#1}}8 \verb|.........| \left(\begin{array}{rr} -17 & -19 \\ -20 & -18 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ -4 & -3 \end{array}\right) \verb|=| \left(\begin{array}{rr} 93 & 91 \\ 92 & 94 \end{array}\right)
9.........(20181719)(1023)=(56545557)\renewcommand{\Bold}[1]{\mathbf{#1}}9 \verb|.........| \left(\begin{array}{rr} -20 & -18 \\ -17 & -19 \end{array}\right) \left(\begin{array}{rr} -1 & 0 \\ -2 & -3 \end{array}\right) \verb|=| \left(\begin{array}{rr} 56 & 54 \\ 55 & 57 \end{array}\right)
10.........(20181719)(0132)=(54565755)\renewcommand{\Bold}[1]{\mathbf{#1}}10 \verb|.........| \left(\begin{array}{rr} -20 & -18 \\ -17 & -19 \end{array}\right) \left(\begin{array}{rr} 0 & -1 \\ -3 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 54 & 56 \\ 57 & 55 \end{array}\right)
11.........(19171820)(3201)=(57555456)\renewcommand{\Bold}[1]{\mathbf{#1}}11 \verb|.........| \left(\begin{array}{rr} -19 & -17 \\ -18 & -20 \end{array}\right) \left(\begin{array}{rr} -3 & -2 \\ 0 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 57 & 55 \\ 54 & 56 \end{array}\right)
12.........(19171820)(2310)=(55575654)\renewcommand{\Bold}[1]{\mathbf{#1}}12 \verb|.........| \left(\begin{array}{rr} -19 & -17 \\ -18 & -20 \end{array}\right) \left(\begin{array}{rr} -2 & -3 \\ -1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 55 & 57 \\ 56 & 54 \end{array}\right)
13.........(18201917)(3201)=(54565755)\renewcommand{\Bold}[1]{\mathbf{#1}}13 \verb|.........| \left(\begin{array}{rr} -18 & -20 \\ -19 & -17 \end{array}\right) \left(\begin{array}{rr} -3 & -2 \\ 0 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 54 & 56 \\ 57 & 55 \end{array}\right)
14.........(18201917)(2310)=(56545557)\renewcommand{\Bold}[1]{\mathbf{#1}}14 \verb|.........| \left(\begin{array}{rr} -18 & -20 \\ -19 & -17 \end{array}\right) \left(\begin{array}{rr} -2 & -3 \\ -1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 56 & 54 \\ 55 & 57 \end{array}\right)
15.........(17192018)(1023)=(55575654)\renewcommand{\Bold}[1]{\mathbf{#1}}15 \verb|.........| \left(\begin{array}{rr} -17 & -19 \\ -20 & -18 \end{array}\right) \left(\begin{array}{rr} -1 & 0 \\ -2 & -3 \end{array}\right) \verb|=| \left(\begin{array}{rr} 55 & 57 \\ 56 & 54 \end{array}\right)
16.........(17192018)(0132)=(57555456)\renewcommand{\Bold}[1]{\mathbf{#1}}16 \verb|.........| \left(\begin{array}{rr} -17 & -19 \\ -20 & -18 \end{array}\right) \left(\begin{array}{rr} 0 & -1 \\ -3 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 57 & 55 \\ 54 & 56 \end{array}\right)
17.........(20191817)(2110)=(21201918)\renewcommand{\Bold}[1]{\mathbf{#1}}17 \verb|.........| \left(\begin{array}{rr} -20 & -19 \\ -18 & -17 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ 1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 21 & 20 \\ 19 & 18 \end{array}\right)
18.........(20191817)(1201)=(20211819)\renewcommand{\Bold}[1]{\mathbf{#1}}18 \verb|.........| \left(\begin{array}{rr} -20 & -19 \\ -18 & -17 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ 0 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 20 & 21 \\ 18 & 19 \end{array}\right)
19.........(20191817)(0112)=(19181716)\renewcommand{\Bold}[1]{\mathbf{#1}}19 \verb|.........| \left(\begin{array}{rr} -20 & -19 \\ -18 & -17 \end{array}\right) \left(\begin{array}{rr} 0 & 1 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 19 & 18 \\ 17 & 16 \end{array}\right)
20.........(20191817)(1021)=(18191617)\renewcommand{\Bold}[1]{\mathbf{#1}}20 \verb|.........| \left(\begin{array}{rr} -20 & -19 \\ -18 & -17 \end{array}\right) \left(\begin{array}{rr} 1 & 0 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 18 & 19 \\ 16 & 17 \end{array}\right)
21.........(20191718)(1102)=(20181719)\renewcommand{\Bold}[1]{\mathbf{#1}}21 \verb|.........| \left(\begin{array}{rr} -20 & -19 \\ -17 & -18 \end{array}\right) \left(\begin{array}{rr} -1 & 1 \\ 0 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 20 & 18 \\ 17 & 19 \end{array}\right)
22.........(20191718)(1120)=(18201917)\renewcommand{\Bold}[1]{\mathbf{#1}}22 \verb|.........| \left(\begin{array}{rr} -20 & -19 \\ -17 & -18 \end{array}\right) \left(\begin{array}{rr} 1 & -1 \\ -2 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 18 & 20 \\ 19 & 17 \end{array}\right)
23.........(20181917)(2110)=(22202119)\renewcommand{\Bold}[1]{\mathbf{#1}}23 \verb|.........| \left(\begin{array}{rr} -20 & -18 \\ -19 & -17 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ 1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 22 & 20 \\ 21 & 19 \end{array}\right)
24.........(20181917)(1201)=(20221921)\renewcommand{\Bold}[1]{\mathbf{#1}}24 \verb|.........| \left(\begin{array}{rr} -20 & -18 \\ -19 & -17 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ 0 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 20 & 22 \\ 19 & 21 \end{array}\right)
25.........(20181917)(0112)=(18161715)\renewcommand{\Bold}[1]{\mathbf{#1}}25 \verb|.........| \left(\begin{array}{rr} -20 & -18 \\ -19 & -17 \end{array}\right) \left(\begin{array}{rr} 0 & 1 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 18 & 16 \\ 17 & 15 \end{array}\right)
26.........(20181917)(1021)=(16181517)\renewcommand{\Bold}[1]{\mathbf{#1}}26 \verb|.........| \left(\begin{array}{rr} -20 & -18 \\ -19 & -17 \end{array}\right) \left(\begin{array}{rr} 1 & 0 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 16 & 18 \\ 15 & 17 \end{array}\right)
27.........(19172018)(2110)=(21192220)\renewcommand{\Bold}[1]{\mathbf{#1}}27 \verb|.........| \left(\begin{array}{rr} -19 & -17 \\ -20 & -18 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ 1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 21 & 19 \\ 22 & 20 \end{array}\right)
28.........(19172018)(1201)=(19212022)\renewcommand{\Bold}[1]{\mathbf{#1}}28 \verb|.........| \left(\begin{array}{rr} -19 & -17 \\ -20 & -18 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ 0 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 19 & 21 \\ 20 & 22 \end{array}\right)
29.........(19172018)(0112)=(17151816)\renewcommand{\Bold}[1]{\mathbf{#1}}29 \verb|.........| \left(\begin{array}{rr} -19 & -17 \\ -20 & -18 \end{array}\right) \left(\begin{array}{rr} 0 & 1 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 17 & 15 \\ 18 & 16 \end{array}\right)
30.........(19172018)(1021)=(15171618)\renewcommand{\Bold}[1]{\mathbf{#1}}30 \verb|.........| \left(\begin{array}{rr} -19 & -17 \\ -20 & -18 \end{array}\right) \left(\begin{array}{rr} 1 & 0 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 15 & 17 \\ 16 & 18 \end{array}\right)
31.........(19201817)(2011)=(18201917)\renewcommand{\Bold}[1]{\mathbf{#1}}31 \verb|.........| \left(\begin{array}{rr} -19 & -20 \\ -18 & -17 \end{array}\right) \left(\begin{array}{rr} -2 & 0 \\ 1 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 18 & 20 \\ 19 & 17 \end{array}\right)
32.........(19201817)(0211)=(20181719)\renewcommand{\Bold}[1]{\mathbf{#1}}32 \verb|.........| \left(\begin{array}{rr} -19 & -20 \\ -18 & -17 \end{array}\right) \left(\begin{array}{rr} 0 & -2 \\ -1 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 20 & 18 \\ 17 & 19 \end{array}\right)
33.........(19201718)(2110)=(18191617)\renewcommand{\Bold}[1]{\mathbf{#1}}33 \verb|.........| \left(\begin{array}{rr} -19 & -20 \\ -17 & -18 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ 1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 18 & 19 \\ 16 & 17 \end{array}\right)
34.........(19201718)(1201)=(19181716)\renewcommand{\Bold}[1]{\mathbf{#1}}34 \verb|.........| \left(\begin{array}{rr} -19 & -20 \\ -17 & -18 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ 0 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 19 & 18 \\ 17 & 16 \end{array}\right)
35.........(19201718)(0112)=(20211819)\renewcommand{\Bold}[1]{\mathbf{#1}}35 \verb|.........| \left(\begin{array}{rr} -19 & -20 \\ -17 & -18 \end{array}\right) \left(\begin{array}{rr} 0 & 1 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 20 & 21 \\ 18 & 19 \end{array}\right)
36.........(19201718)(1021)=(21201918)\renewcommand{\Bold}[1]{\mathbf{#1}}36 \verb|.........| \left(\begin{array}{rr} -19 & -20 \\ -17 & -18 \end{array}\right) \left(\begin{array}{rr} 1 & 0 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 21 & 20 \\ 19 & 18 \end{array}\right)
37.........(18201719)(2110)=(16181517)\renewcommand{\Bold}[1]{\mathbf{#1}}37 \verb|.........| \left(\begin{array}{rr} -18 & -20 \\ -17 & -19 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ 1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 16 & 18 \\ 15 & 17 \end{array}\right)
38.........(18201719)(1201)=(18161715)\renewcommand{\Bold}[1]{\mathbf{#1}}38 \verb|.........| \left(\begin{array}{rr} -18 & -20 \\ -17 & -19 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ 0 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 18 & 16 \\ 17 & 15 \end{array}\right)
39.........(18201719)(0112)=(20221921)\renewcommand{\Bold}[1]{\mathbf{#1}}39 \verb|.........| \left(\begin{array}{rr} -18 & -20 \\ -17 & -19 \end{array}\right) \left(\begin{array}{rr} 0 & 1 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 20 & 22 \\ 19 & 21 \end{array}\right)
40.........(18201719)(1021)=(22202119)\renewcommand{\Bold}[1]{\mathbf{#1}}40 \verb|.........| \left(\begin{array}{rr} -18 & -20 \\ -17 & -19 \end{array}\right) \left(\begin{array}{rr} 1 & 0 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 22 & 20 \\ 21 & 19 \end{array}\right)
41.........(18171920)(2011)=(19171820)\renewcommand{\Bold}[1]{\mathbf{#1}}41 \verb|.........| \left(\begin{array}{rr} -18 & -17 \\ -19 & -20 \end{array}\right) \left(\begin{array}{rr} -2 & 0 \\ 1 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 19 & 17 \\ 18 & 20 \end{array}\right)
42.........(18171920)(0211)=(17192018)\renewcommand{\Bold}[1]{\mathbf{#1}}42 \verb|.........| \left(\begin{array}{rr} -18 & -17 \\ -19 & -20 \end{array}\right) \left(\begin{array}{rr} 0 & -2 \\ -1 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 17 & 19 \\ 20 & 18 \end{array}\right)
43.........(18172019)(2110)=(19182120)\renewcommand{\Bold}[1]{\mathbf{#1}}43 \verb|.........| \left(\begin{array}{rr} -18 & -17 \\ -20 & -19 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ 1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 19 & 18 \\ 21 & 20 \end{array}\right)
44.........(18172019)(1201)=(18192021)\renewcommand{\Bold}[1]{\mathbf{#1}}44 \verb|.........| \left(\begin{array}{rr} -18 & -17 \\ -20 & -19 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ 0 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 18 & 19 \\ 20 & 21 \end{array}\right)
45.........(18172019)(0112)=(17161918)\renewcommand{\Bold}[1]{\mathbf{#1}}45 \verb|.........| \left(\begin{array}{rr} -18 & -17 \\ -20 & -19 \end{array}\right) \left(\begin{array}{rr} 0 & 1 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 17 & 16 \\ 19 & 18 \end{array}\right)
46.........(18172019)(1021)=(16171819)\renewcommand{\Bold}[1]{\mathbf{#1}}46 \verb|.........| \left(\begin{array}{rr} -18 & -17 \\ -20 & -19 \end{array}\right) \left(\begin{array}{rr} 1 & 0 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 16 & 17 \\ 18 & 19 \end{array}\right)
47.........(17191820)(2110)=(15171618)\renewcommand{\Bold}[1]{\mathbf{#1}}47 \verb|.........| \left(\begin{array}{rr} -17 & -19 \\ -18 & -20 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ 1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 15 & 17 \\ 16 & 18 \end{array}\right)
48.........(17191820)(1201)=(17151816)\renewcommand{\Bold}[1]{\mathbf{#1}}48 \verb|.........| \left(\begin{array}{rr} -17 & -19 \\ -18 & -20 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ 0 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 17 & 15 \\ 18 & 16 \end{array}\right)
49.........(17191820)(0112)=(19212022)\renewcommand{\Bold}[1]{\mathbf{#1}}49 \verb|.........| \left(\begin{array}{rr} -17 & -19 \\ -18 & -20 \end{array}\right) \left(\begin{array}{rr} 0 & 1 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 19 & 21 \\ 20 & 22 \end{array}\right)
50.........(17191820)(1021)=(21192220)\renewcommand{\Bold}[1]{\mathbf{#1}}50 \verb|.........| \left(\begin{array}{rr} -17 & -19 \\ -18 & -20 \end{array}\right) \left(\begin{array}{rr} 1 & 0 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 21 & 19 \\ 22 & 20 \end{array}\right)
51.........(17181920)(2110)=(16171819)\renewcommand{\Bold}[1]{\mathbf{#1}}51 \verb|.........| \left(\begin{array}{rr} -17 & -18 \\ -19 & -20 \end{array}\right) \left(\begin{array}{rr} -2 & -1 \\ 1 & 0 \end{array}\right) \verb|=| \left(\begin{array}{rr} 16 & 17 \\ 18 & 19 \end{array}\right)
52.........(17181920)(1201)=(17161918)\renewcommand{\Bold}[1]{\mathbf{#1}}52 \verb|.........| \left(\begin{array}{rr} -17 & -18 \\ -19 & -20 \end{array}\right) \left(\begin{array}{rr} -1 & -2 \\ 0 & 1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 17 & 16 \\ 19 & 18 \end{array}\right)
53.........(17181920)(0112)=(18192021)\renewcommand{\Bold}[1]{\mathbf{#1}}53 \verb|.........| \left(\begin{array}{rr} -17 & -18 \\ -19 & -20 \end{array}\right) \left(\begin{array}{rr} 0 & 1 \\ -1 & -2 \end{array}\right) \verb|=| \left(\begin{array}{rr} 18 & 19 \\ 20 & 21 \end{array}\right)
54.........(17181920)(1021)=(19182120)\renewcommand{\Bold}[1]{\mathbf{#1}}54 \verb|.........| \left(\begin{array}{rr} -17 & -18 \\ -19 & -20 \end{array}\right) \left(\begin{array}{rr} 1 & 0 \\ -2 & -1 \end{array}\right) \verb|=| \left(\begin{array}{rr} 19 & 18 \\ 21 & 20 \end{array}\right)
WARNING: Some output was deleted.
show(count1) show(count2) show(RR(count2/count1))
3545\renewcommand{\Bold}[1]{\mathbf{#1}}3545
1\renewcommand{\Bold}[1]{\mathbf{#1}}1
0.000282087447108604\renewcommand{\Bold}[1]{\mathbf{#1}}0.000282087447108604
lowestInA = LowestEntry(A[i]) lowestInB = LowestEntry(B[j]) highestInA = HighestEntry(A[i]) highestInB = HighestEntry(B[j]) if Alowest > lowestInA: count2 = count2 + 1 show(count2,'.........',A[i],B[j],'=',C) Alowest = lowestInA if Blowest > lowestInB: count2 = count2 + 1 show(count2,'.........',A[i],B[j],'=',C) Blowest = lowestInB if Ahighest < highestInA: count2 = count2 + 1 show(count2,'.........',A[i],B[j],'=',C) Alowest = lowestInA if Bhighest < lowestInB: