Inner Products, Projections and the SVD · free preview

Matrix Approximation

Matrix Approximation

1. Matrix Approximation

Matrix Approximation

2. Matrix Approximation (2)

Matrix Approximation (2)

3. Matrix Approximation (3)

Matrix Approximation (3)

4. Matrix Approximation (4)

Matrix Approximation (4)

5. Matrix Approximation (5)

Matrix Approximation (5)

6. Matrix Approximation (6)

Matrix Approximation (6)

7. Matrix Approximation (7)

Matrix Approximation (7)

8. Best low-rank approximation

The best rank-kk approximation of AA in the spectral norm is obtained by

9. Error of the truncation

For the rank-kk truncation AkA_k, the Frobenius-norm error ∥A−Ak∥F\|A - A_k\|_F equals

Practice this interactively

Free account · instant grading · spaced review that schedules itself.

Start this course for free