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linear-algebra
Linear Algebra - Vectors and Linear Combinations
The idea of linear combinations—cv + dw—is at the heart of linear algebra.
16 hrs ago
•
Shrijith Venkatramana
Deriving the Column Space of a Matrix
To find the column space of a matrix, we essentially identify the building blocks of the given matrix—the set of linearly independent columns that can…
Feb 10
•
Shrijith Venkatramana
1
How the Idea of Four Subspaces Makes LoRA Possible in LLMs
Most explanations of LoRA say things like “LoRA freezes the original model and only trains a tiny ‘adapter’—a pair of much smaller matrices.” These…
Feb 9
•
Shrijith Venkatramana
Matrices Are More than Arrays of Numbers
Most matrices contain redundant information.
Feb 8
•
Shrijith Venkatramana
1
Why Linear Independence Matters: From Filling the Plane to PCA
I was working through Gilbert Strang’s Linear Algebra, and the idea of “filling a plane” caught my attention.
Feb 7
•
Shrijith Venkatramana
1
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