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A168578号 |
| 减去两个矩阵系统的特征多项式的多项式系数:M(n)=表[Table[If[M==k=1,n,If[M==k,(-1)^n,0]],{M,1,n}],{k,1,n}];M1(n)=表[表[If[m==k+1,-1,If[k==n&&m==1,n,If[m==k==n,-n,0]],{m,1,n}],{k,1,n}] |
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-5, 5, 4, -13, 15, -11, 19, 26, 14, 6, -31, 65, -70, 40, -17, 41, 99, 125, 85, 27, 8, -57, 175, -301, 315, -203, 77, -23, 71, 244, 476, 574, 434, 196, 44, 10, -91, 369, -876, 1344, -1386, 966, -444, 126, -29, 109, 485, 1275, 2190, 2562, 2058, 1110, 375, 65, 12
(列表;图表;参考;听;历史;文本;内部格式)
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抵消
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2,1
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评论
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绝对值行总和为:
{5, 9, 39, 65, 223, 385, 1151, 2049, 5631, 10241, 26623,...}.
调整矩阵,使其具有相同的行列式。
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链接
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例子
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{-5},
{5, 4},
{-13, 15, -11},
{19, 26, 14, 6},
{-31, 65, -70, 40, -17},
{41, 99, 125, 85, 27, 8},
{-57195、-301、315、-203、77、-23},
{71, 244, 476, 574, 434, 196, 44, 10},
{-91, 369, -876, 1344, -1386, 966, -444, 126, -29},
{109, 485, 1275, 2190, 2562, 2058, 1110, 375, 65, 12},
{-133, 671, -2035, 4125, -5874, 6006, -4422, 2310, -825, 187, -35}
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数学
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清除[M,M1,n,M,k,a,b,x]
M[n_]:=表[如果[M==k==1,n,如果[M==k,(-1)^n,0]],{M,1,n}],{k,1,n}];
a=表[如果[n==0,1,特征多项式[M[n],x]],{n,0,12}];
M1[n_]:=表[Table[If[m==k+1,-1,If[k==n&m==1,n,If[m==k==n,-n,0]],{m,1,n}],{k,1,n}];
b=表[如果[n==0,1,特征多项式[M1[n],x]],{n,0,12}];
c=全部展开[(a-b)/x];
表[系数列表[c[[n]],x],{n,3,长度[a]}];
压扁[%]
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交叉参考
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关键词
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签名,未经编辑的
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作者
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状态
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经核准的
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