Re: [理工] [矩陣]
※ 引述《gn00648013 (大偉)》之銘言：
: Let T the operator on R^2 defined by T(x,y) = (4x-2y , 2x+y),
: (a)what is the matrix of T in the ordered basis {[1,0]T , [0,1]T}
: (b)what is the matrix of T in the ordered basis {[1,1]T , [-1,0]T}
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(a)
T(1,0) = (4,2) = 4*(1,0) + 2*(0,1) =>第一行為 [4 2]^t
T(0,1) = (-2,1) = -2*(1,0) + 1*(0,1) =>第二行為 [-2 1]^t
(b)
T(1,1) = (2,3) = 3*(1,1) + 1*(-1,0) =>第一行為[3 1]^t
T(-1,0) = (-4,-2) = -2(1,1) +2(-1,0) =>第二行為[-2 2]^t
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