[理工] 103台大-第3題 dimension
(a) If the dimension of the vector space M7x4(C) of matrices with senen rows
and four columns over the field C of complex numbers equals the dimension of
the vertor space R^n of n-tuples over the field R of real numbers, then
n=______.
(b) Let A be an mxn matrix over the field R of real numbers, if the m rows of
A are linearly independent, then the dimension of the vector space spanned by
the n rows of A is _____.
(c) If U and V are two distubct subspaces of a vector space W with dim(W)=6,
then dim(U∩V) is either _____ or _____.
(b):spanned by the n rows of A...考券應該打錯了columns
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