作者tokyo291 (工口工口)
看板Grad-ProbAsk
標題[理工] 線代求eigenvalue
時間Tue Jan 15 22:17:33 2013
Suppose that{x1,...,xp} is a set of linearly independent vectors in Rn
_ p _ _
with n>p. Define x=(1/p)Σxi and B=[(x1-x),...,(xp-x)]
i=1
Please answer the following questions with appropriate explanation.
(a)What is the rank of C(B)?
(b)is B'B invertible? B' is the transpose matrix of B
(c)What is the rank of the orthogonal subspace of C(B)?
(d)What is the number of nonzero eigenvalues of B ?
這一題想問的是(d)...
B不是n*p矩陣嗎?要怎麼找eigenvalue...
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