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

Language: | en | Status: backup | |

Term: | matrix | ||

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Definition: | array of mn scalars arranged in m rows and n columnsNOTE 1 The scalars in the array are called elements of the matrix. NOTE 2 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 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 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: | 2007-08 | ||

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NOTE 1 The scalars in the array are called elements of the matrix.

NOTE 2 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 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 A matrix is complex if its elements are complex numbers or quantities. A complex matrix may be denoted by **A**, the elements by (

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