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    5. A linear map $T : \reals^2 \to \reals^2$

    A linear map $T : \reals^2 \to \reals^2$

    Example · Undergraduate

    Terms

    TermThis exampleWhy
    function ✓ $T$ is a function and a map. “Linear map” is more common than “linear function,” partly because “linear function” also means $x \mapsto m x + b$ in school algebra.
    map ✓
    linear map ✓

    Distinctions using this example

    • Function vs. map

    All examples · All distinctions · All definitions

    Collection: Examples

    Updated: November 8, 2026

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