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IEVref: | 102-06-01 | ID: | |

Language: | en | Status: Standard | |

Term: | matrix | ||

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Definition: | array of mn scalars arranged in m rows and n columnsNote 1 to entry: The scalars in the array are called elements of the matrix. Note 2 to entry: The matrix notation is also used with scalar quantities instead of scalars, these quantities being not necessarily of the same kind. Examples are the impedance matrix and the Note 3 to entry: A matrix is represented by a letter symbol in italic bold-face type or by the table of elements within parentheses: A) is also used, for example to distinguish the matrix _{ij} from a vector A. Square brackets are also used instead of parentheses. For a matrix A, the element at the row Ai and the column j may be denoted by ()A_{ij} or by A if there is no ambiguity. _{ij}Note 4 to entry: A matrix is complex if its elements are complex numbers or quantities. A complex matrix may be denoted by )A_{ij} or ()A_{ij}. | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO 2017-08-24: Corrected the order of </i> and </sub> tags. LMO | ||

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Note 1 to entry: The scalars in the array are called elements of the matrix.

Note 2 to entry: The matrix notation is also used with scalar quantities instead of scalars, these quantities being not necessarily of the same kind. Examples are the impedance matrix and the *H*-matrix (see IEC 60027-2). A matrix notation is sometimes used for operators. This should be justified in each case.

Note 3 to entry: A matrix is represented by a letter symbol in italic bold-face type or by the table of elements within parentheses: ** A** or $\left(\begin{array}{ccc}{A}_{11}& \cdots & {A}_{1n}\\ \vdots & \ddots & \vdots \\ {A}_{m1}& \cdots & {A}_{mn}\end{array}\right)$. The notation (

Note 4 to entry: A matrix is complex if its elements are complex numbers or quantities. A complex matrix may be denoted by **A**, the elements by (