Definition:Degenerate Linear Transformation
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Definition
Let $U, V$ be vector spaces over a field $K$.
Let $T: U \to V$ be a linear transformation.
Let $\Img T$ be the image of $T$.
$T$ is degenerate if and only if:
- $\Img T$ is finite-dimensional
Sources
- 2002: Peter D. Lax: Functional Analysis: $2.2$: Index of a Linear Map