[LA] Null Space
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.../Linear Algebra
Null Space는 주로 matrix 에 관련된 맥락에서 사용되며,Linear Transformer의 맥락에서는 Kernel이라고 불림.Definition : Null SpaceThe null space of an $m \times n$ matrix $A$, written as Nul $A$, is the set of all solutions of the homogeneous equation $A\textbf{x}=\textbf{0}$.In set notation,$$\text{Nul }A = \left\{ \textbf{x}:\textbf{x} \text{ is in }\mathbb{R}^n \text{ and }A\textbf{x}=\textbf{0} \right\}$$Theorem 2The nul..