Edited by author 10-09-2003 03:16 AM
Subspace angles are defined using n-dimensions, so it's kind of confusing... Is it possible to explain the subspace angle in when n is 2 or 3?

I only followed it up to getting the matrix product of the two orthonormal matrices that span two subspaces. The matrix product gives another orthogonal matrix. If the subspaces are planes, is the subspace angle the angle between the intersection of the planes, or the angle between the (original) plane(s) and the orthogonal plane gotten by the product of the two orthonormal matrices?

Singular values are used to calculate the subspace angle.
This is a definition from MathWorld:
Singular values are the square roots of the eigenvalues of A*A, where A* is the adjoint matrix.

For me it's hard to conceptualize if I can't visualize it... and I have no idea what the singular values represent, let alone understanding the meaning of theta.