1. Decomposition of Matrix name ： Shang-Ru Yu number ： B93520019

2. Outline  Decomposition of Matrix  LU and QR  QR factorization  Problem

3. Decomposition of Matrix

4. LU and QR Let ，

5. R (Upper triangular ) 、 Q (orthogonal) We know F and R is the same with and QR factorization Find the relationship with and

6. Upper triangular matrix (2-D)X-axis will still fall on X-axis via upper triangular matrix (3-D)X-Y plane will still fall on X-Y plane via upper triangular matrix

9. problem ： Find the relationship with and (2-D) ( 3-D) angle of rotational martix (tensor)? problem