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    7. $(3, 2)$ is the coordinate vector of $3 + 2x$, relative to the basis $(1, x)$

    $(3, 2)$ is the coordinate vector of $3 + 2x$, relative to the basis $(1, x)$

    Example · Undergraduate

    Terms

    TermThis exampleWhy
    coordinate vector ✓ $3 + 2x$ is the linear combination of the basis vectors using the coefficients $3$ and $2$: \(3 + 2x = 3(1) + 2(x)\)

    Distinctions using this example

    • Vector vs. coordinate vector

    All examples · All distinctions · All definitions

    Collection: Examples

    Updated: November 11, 2026

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