Column Vector

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A Column Vector is a vector that is an m × 1 matrix.



  • (Wikipedia, 2015) ⇒ Retrieved:2015-3-1.
    • In linear algebra, a column vector or column matrix is an m × 1 matrix, i.e. a matrix consisting of a single column of m elements. : [math]\displaystyle{ \mathbf{x} = \begin{bmatrix} x_1 \\ x_2 \\ \vdots \\ x_m \end{bmatrix} }[/math] The transpose of a column vector is a row vector and vice versa: : [math]\displaystyle{ \begin{bmatrix} x_1 \\ x_2 \\ \vdots \\ x_m \end{bmatrix}^{\rm T} = \begin{bmatrix} x_1 \; x_2 \; \dots \; x_m \end{bmatrix} }[/math] The set of all column vectors with a given number of elements forms a vector space which is the dual space to the set of all row vectors with that number of elements.