Describe the mistake
Gram-Schmidt Orthogonalization by Gauss Elimination augmented matrix is incorrect OR it should mention that the basis vectors should be rows.
Location
Please provide the
version (bottom of page) - Draft (2021-07-29)
Chapter - 3
page - 79
line number/equation number - paragraph after definition 3.9.
Proposed solution
change [B˜B˜T|B˜ ] to [B˜TB˜|B˜T ] .
Additional context
This is where it appears in the book:
This is how it appears in Wikipedia (note the underlined "rows"):
And this is the section from the original paper that introduces the concept and uses vectors as columns:
Since the MML book always uses vectors as columns, the augmented matrix should be changed to the one in the original source.
Describe the mistake Gram-Schmidt Orthogonalization by Gauss Elimination augmented matrix is incorrect OR it should mention that the basis vectors should be rows.
Location Please provide the
Proposed solution change [B˜B˜T|B˜ ] to [B˜TB˜|B˜T ] .
Additional context This is where it appears in the book:![image](https://user-images.githubusercontent.com/8534177/133661856-af24d0d5-09a1-4fc7-8c93-e57142e227a3.png)
This is how it appears in Wikipedia (note the underlined "rows"):![image](https://user-images.githubusercontent.com/8534177/133662186-fdb7508d-abba-425a-abe8-990dad7c498e.png)
And this is the section from the original paper that introduces the concept and uses vectors as columns:![image](https://user-images.githubusercontent.com/8534177/133662875-4a32fa86-3b6f-453f-b001-6ec051875de3.png)
Since the MML book always uses vectors as columns, the augmented matrix should be changed to the one in the original source.