设n阶矩阵A,B有共同的特征值,且各自有n个线性无关的特征向量,则(A ) A=B(B) A不等于B,但A-B的行列式的值=0(c) A相似B(D)       A与B不一定相似,但A与B行列式的值相等

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设n阶矩阵A,B有共同的特征值,且各自有n个线性无关的特征向量,则(A ) A=B(B) A不等于B,但A-B的行列式的值=0(c) A相似B(D)       A与B不一定相似,但A与B行列式的值相等

设n阶矩阵A,B有共同的特征值,且各自有n个线性无关的特征向量,则(A ) A=B(B) A不等于B,但A-B的行列式的值=0(c) A相似B(D)       A与B不一定相似,但A与B行列式的值相等
设n阶矩阵A,B有共同的特征值,且各自有n个线性无关的特征向量,则
(A ) A=B
(B) A不等于B,但A-B的行列式的值=0
(c) A相似B
(D)       A与B不一定相似,但A与B行列式的值相等

设n阶矩阵A,B有共同的特征值,且各自有n个线性无关的特征向量,则(A ) A=B(B) A不等于B,但A-B的行列式的值=0(c) A相似B(D)       A与B不一定相似,但A与B行列式的值相等
(A) 显然不对
(B) 不对
(C) 正确
(D) 尽管|A|=|B|,但前提与(C)矛盾
选 (C)

.Wholesale Clothing, Part Time Online Business - A Start Up Wholesale Drop Ship Business
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.Wholesale Clothing, Part Time Online Business - A Start Up Wholesale Drop Ship Business
Wholesale Clothing
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设n阶矩阵A,B有共同的特征值,且各自有n个线性无关的特征向量,对于这个问题A,B各自有n个线性无关的特征向量,则r(λI-A)=0,r(λI-B)=0,那么λI-A=0,λI-B=0,不能得到A=B么? 设n阶矩阵A,B有共同的特征值,且各自有n个线性无关的特征向量,则(A ) A=B(B) A不等于B,但A-B的行列式的值=0(c) A相似B(D)       A与B不一定相似,但A与B行列式的值相等 设n阶矩阵A有n个特征值0,1,2,...,n-1,且矩阵B~A,求det(I+B) 设A,B都是N阶矩阵,且A可逆,证明AB与BA有相同的特征值谁快给我答案B^- 是什么啊 设A,B是n阶非零矩阵,且AB=B,则A必有哪个特征值?如果(A+2E)B=0,E为n阶单位矩阵,则A必有哪个特征值?怎么知道必有什么特征值的? n阶矩阵A与B有相同特征值,且n个特征值互不相同能否说明A与B相似?相同的行吗? 线性代数 特征值若n阶矩阵A,B有共同的特征值,且各有n个线性无关的特征向量,则( ) (A)A与B相似 (B) ,但|A-B|=0(C)A=B (D)A与B不一定相似,但|A|=|B| 问一道线性代数有关矩阵特征值与特征向量的问题...设n阶矩阵A和B满足 R(A) + R(B) < n,证明A与B有公共的特征值,有公共的特征向量. 设A,B均为n阶矩阵,且AB=BA,证明: 1)如果A有n个不同的特征值,则B相似于对角矩阵;2)如果A,B都相似与对角矩阵,则存在非奇异矩阵P,使得P-1AP与P-1BP均为对角矩阵. 设A,B 分别是m*n,n*m矩阵,证明:AB和BA有相同的非零特征值. 设A、B均为n阶正规矩阵,证明:A与B相似的充分必要条件是A与B有相同的特征值 设A,B是n阶实矩阵,A的特征值互逆,证明矩阵AB=BA的充要条件为A的特征值都是B的特征值 求线性代数特征值 1.设A,B都是n阶方阵,且B可逆,则B-1A与AB-1有相同的特征值2.设A2=E,则A的特征值只能是+1或-1 设n阶矩阵A.B有共同的线性无关的特征向量. 试证AB=BA 设N阶实对称阵A,B具有一个共同的K重特征值λ,若k>(λ/2),则A,B对应于特征值λ有相同的特征向量要证明的是 若K>(n/2) 如图,对角矩阵A的特征值有几个,是否所有n阶矩阵都有n个特征值 A、B为n阶实对称矩阵,且A与B有相同的特征值,问A、B相似吗?为什么? 设A为n阶矩阵A^9=0,则A=设A为n阶矩阵,且A^9=0,则A=0A有一个非零特征值A的特征值全为零A有n个线性无关的特征向量麻烦解释一下为什么对或错,