1.1. Introduction to Matrices

Matrix notation

Each element in a matrix has its own particular ‘address’ or location which can be defined by a system of double suffixes, the first indicating the row, the second the column, thus:


LaTeX in HTML
\[\Large \begin{bmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23}\\ a_{31} & a_{32} & a_{33} \end{bmatrix} \]


  • Therefore, a 23 indicates the element in the second row and third column.
  • Further, a whole matrix can be denoted by a single general element enclosed in brackets, or by a single letter.
  • The above matrix can be denoted by (aij) or (a) or by A

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