[線代] rank space invertible 綜合題

看板Math作者tokyo291 (工口工口)時間13年前 (2013/01/12 02:33)推噓4(4推 0噓 13→)

留言17則, 6人參與討論串1/1

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 ? 這一題卡住很久都沒有頭緒...只知道(c)是left nullspace 可是又跟(a)的rank 有關,麻煩了! -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 36.239.251.43

→

THEJOY

01/12 02:40, , 1^F

01/12 02:40, 1^F

→

tokyo291

01/12 03:18, , 2^F

01/12 03:18, 2^F

→

tokyo291

01/12 03:18, , 3^F

01/12 03:18, 3^F