作者bennylu (减肥)
看板Grad-ProbAsk
标题Re: [理工] [线代]-矩阵表示
时间Mon Nov 2 15:56:16 2009
※ 引述《yesa315 (XD)》之铭言：
: A matrix representation of a linear operator on M : m x n ,the set of all
: m x n matrices, is an m x n matrix
: 此题为FALSE 但我看不太懂题目再说啥!?
在同空间中的linear transformation称为linear operator,
题目说一个Mmxn中的算子的矩阵表示法是mxn的吗?
答案是错的, 因为应该是mxm才对
T: Mmxn -> Mmxn, 令T(X) = AX
若AX也要是mxn, 则A势必是mxm
n n
: If T is a linear operator on R , B is a basis for R , C is the matrix
: whose columns are the vectors in B and A is the standard matrix of T ,
: -1
: then [T] = C A C
: B
: 此题为FALSE 但 C is the matrix whose columns are the vectors in B
: 这句话不太懂
: 请高手指导 谢谢
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1F：→ yesa315:谢谢 11/03 10:30