Inner Products, Projections and the SVD · 免费预览

正交投影

正交投影

1. Orthogonal Projections

Orthogonal Projections

2. Quick check: Projection onto a line

The orthogonal projection of xx onto the subspace spanned by a unit vector uu is

3. Orthogonal Projections (2)

Orthogonal Projections (2)

4. Orthogonal Projections (3)

Orthogonal Projections (3)

5. Orthogonal Projections (4)

Orthogonal Projections (4)

6. Orthogonal Projections (5)

Orthogonal Projections (5)

7. Orthogonal Projections (6)

Orthogonal Projections (6)

8. Orthogonal Projections (7)

Orthogonal Projections (7)

9. Idempotence of a projection

For an orthogonal projection matrix PP, which identity holds?

10. Projection onto the full space

The orthogonal projection of xx onto a subspace that already contains xx returns ______ .

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