[理工] 線代
1.It's possible for different bases for a paticular
subspce to contain different numbers of vectors.
(F):可我假設一組基底為(1,2,3) 另一組為(4,8,12)
這樣不就有different numbers of vectors?
n
2.The matrix representation of a linear operator on R
n
with respect to a basis for R is an n*n matrix.
(T):why?
3.The B-coordinate vector of a vextor in B is a standard vector.
(T):why?
4.The columns of any matrix form a basis for its
column space.
(F):只有row space 有這個性質嗎?還是?
5.The row space of an m*n matrix A is the set
n
{Av:v is in R }.
(F):why?
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