[理工] 線代-向量空間和子空間
T or F
(1) Every vector space has at lest two distinct subspace
(False)
不是最少都有 0 及 V 空間嗎?
(2) The dimension of the kernel of the transformation T(x,y,z)=(0,y) of
R^3->R^2 is 2
(True)
T(1,0,0)=(0,0) T(0,1,0)=(0,1) T(0,0,1)=(0,0)
[0 0 0]
[0 1 0] 是這樣算嗎? 但是這樣 dim(ker(A)) = 1 ?
感謝指導
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