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Table of Contents
- 1. Why columns (not rows)?
- 1.1. Because columns map to input, while rows map to output
- 1.2. Linear dependence is going to have more to do with the columns
- 1.3. Dot products are "linear combinations" of the columns
- 1.4. It's only because we usually multiply with variables on the right. When we go backwards, then we care about the row.
- 2. #definiton column space definition
- 3. Row vs Column linear dependency
1 Why columns (not rows)?
1.1 Because columns map to input, while rows map to output
1.2 Linear dependence is going to have more to do with the columns
1.3 Dot products are "linear combinations" of the columns
1.4 It's only because we usually multiply with variables on the right. When we go backwards, then we care about the row.
2 #definiton column space definition
The subpsace that gets hit by inputs.