※ 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!? 意思是取 linear operator T: M -> M, where M:mxn 因为一个 M:mxn 的矩阵是属於一个维度为 m*n 的向量空间 所以 T 的矩阵表示法应该要是一个 (m*n)x(m*n) 的矩阵 : 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 假设 S 为 standard basis of R^n, S S 这里的 C 其实就是 [I] , A = [T] B S B S S -1 所以 [T] = [I] [T] [I] = C A C B S S B --

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