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Vectors

Magnitude, direction, components, and adding vectors head to tail.

A vector is a quantity with magnitude and direction — displacement, velocity, force. In components it is just a column of numbers, adding entry by entry; its length comes from Pythagoras. Linear algebra picks up here.

Arbejdstxrd eksempel: [[3],[4]]

Linear-Algebra · Matrices

[[3],[4]]

\left[\begin{matrix}3\\4\end{matrix}\right]

Trin for trin

  1. \left[\begin{matrix}3\\4\end{matrix}\right]

    A 2×1 matrix.

  2. \operatorname{rank} A = 1

    Rank (number of independent rows).

  3. A^T = \left[\begin{matrix}3 & 4\end{matrix}\right]

    Transpose.

Afslør svaret
\left[\begin{matrix}3\\4\end{matrix}\right]

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Mere i Precalculus

Complex numbersPolynomial functionsRational functionsSequences and seriesThe binomial theoremConic sections