Question

【求助】关于矩阵里面的正交补空间

Answer 1

1）不是.所求{x|x=k1*qr1+k2*qr2} 其中k1,k2可以同时为0 (trivial case)

2）不是等价的.其中s1={x|x=a1+b1 a1不等于0,且a1属于P,b1属于P2}

而s2=P.所以两者不等价

3)Matlab:

function BCOMP = orthcomp(B)

% orthcomp Orthogonal complement of a subspace.

%

% BCOMP = orthcomp(B) returns a basis for the

% orthogonal complement of the column space of B.

% This subspace contains all vectors orthogonal

% to the column space of B.

% It is the left nullspace of B.

%

% See also leftnull,nulbasis.

BCOMP = leftnull(B);