Then UU† is a projection matrix, projecting into the span.
To clarify: for this, you probably need the basis U to be orthonormal?
The “dagger” indicates a pseudoinverse, not a transpose, which is why this works even with non-orthonormal U. But an orthonormal basis would probably be most convenient; in that case the pseudoinverse is just the transpose.
Thanks!
To clarify: for this, you probably need the basis U to be orthonormal?
The “dagger” indicates a pseudoinverse, not a transpose, which is why this works even with non-orthonormal U. But an orthonormal basis would probably be most convenient; in that case the pseudoinverse is just the transpose.
Thanks!