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Matrix

pl. matrices

A collection of vectors denoted1

\begin{equation*} A = A_{m \times n} = \begin{pmatrix} \vphantom{\Big(} \vec{a}_1 & \cdots & \vec{a}_n \end{pmatrix} = \begin{pmatrix} a_{11} & \cdots & a_{1n} \\ \vdots & \ddots & \vdots \\ a_{m1} & \cdots & a_{mn} \end{pmatrix}, \end{equation*}
where \(\vec{a}_j\) is the \(j\)-th column vector and
  \(a_{ij}\) is the entry in \(i\)-th row and \(j\)-th column.

Footnotes:

1

Also denoted

  • with square brackets instead of parentheses, \(A = \begin{bmatrix} \vphantom{\big(} \ldots \end{bmatrix}\), or
  • with comma-separated indices, \(a_{i, j}\).

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