Definition:Nullity/Linear Transformation
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Definition
Let $K$ be a division ring.
Let $V$ and $W$ be $K$-vector spaces.
Let $\phi: V \to W$ be a linear transformation.
Let the kernel $\ker \phi$ be finite dimensional.
Then the nullity of $\phi$ is the dimension of $\ker \phi$ and is denoted $\map \nu \phi$.
Sources
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {V}$: Vector Spaces: $\S 28$. Linear Transformations