1. 張智星 (Roger Jang) jang@mirlab.org http://mirlab.org/jang 台大資工系 多媒體檢索實驗室
Matrix Formulas
張智星 (Roger Jang)
台大資工系 多媒體檢索實驗室

2. Transpose and Inverse
Matrix transpose
Matrix inverse

3. Block Form of a Matrix (1/2)
Matrix partition into a block form:
Examples
Column vector!
Row vector!

4. Block Form of a Matrix (2/2)
Block-form matrix operations
Examples

5. Gradient of a Function
Gradient of a function If
Quiz!

6. Quadratic Form (1) Quadratic form of A can be assumed symmetric since
Quiz!

7. Quadratic Form (2)
When
Different values of A can lead to the same quadratic form as long as is the same.
Quiz!

8. Quadratic Form (3)
When
Different values of A can lead to the same quadratic form too.
Quiz!
Expand it by
Brutal force!

9. Gradient of a Quadratic Form
The gradient of a quadratic form
Example
Quiz!

10. Common Formulas
Some common formulas (assuming A is symmetric and all derivatives are w.r.t x)
Quiz!

11. Reference Matrix cookbook