Re: [理工] [線代]-矩陣表示

[bennylu (減肥)]

※ 引述《yesa315 (XD)》之銘言：
: 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
: 此題為FALSE 但我看不太懂題目再說啥!?

在同空間中的linear transformation稱為linear operator,

題目說一個Mmxn中的算子的矩陣表示法是mxn的嗎?

答案是錯的, 因為應該是mxm才對

T: Mmxn -> Mmxn,  令T(X) = AX

若AX也要是mxn, 則A勢必是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
: 此題為FALSE 但 C is the matrix whose columns are the vectors in B
: 這句話不太懂
: 請高手指導  謝謝

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