orth

Arguments

A

real or complex matrix

Q

real or complex matrix

Description

Q=orth(A) returns Q, an orthogonal basis for the span of A. Range(Q) = Range(A) and Q'*Q=eye.

The number of columns of Q is the rank of A as determined by the QR algorithm.

Examples

A=rand(5,3)*rand(3,4);
[X,dim]=rowcomp(A);X=X';
svd([orth(A),X(:,1:dim)])

See also

• qr — QR decomposition
• rowcomp — row compression, range
• colcomp — column compression, kernel, nullspace
• range — range (span) of A^k