Research Space for Linear Algebra & Discrete Mathematics
(a) Au=0, Av=v, Aw=2w(b) N(A) = span{u}, R(A^T) = span{v,w}, 因為 R(A^T) 和 N(A) 會形成直合(c) 取 x = v+(1/2)w => Ax = A(v+(1/2)w) = Av+(1/2)Aw = v+w
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2 則留言:
(a) Au=0, Av=v, Aw=2w
(b) N(A) = span{u}, R(A^T) = span{v,w},
因為 R(A^T) 和 N(A) 會形成直合
(c) 取 x = v+(1/2)w
=> Ax = A(v+(1/2)w) = Av+(1/2)Aw = v+w
感謝助教 !!!
張貼留言