## Matrices

# Matrix and Types of Matrices

**Matrix :**A rectangular arrangement of real (or) complex numbers (or) functions is called a matrix. The horizontal lines are called Rows and the vertical lines are called columns. The numbers of the matrix are called elements on entries.- If a matrix has m rows and n columns, then the order of the matrix is m × n.
- The general form A = [a
_{ij}]_{m }_{× n}matrix is \tt \begin{bmatrix}a_{11} & a_{12}&a_{13} &.....&a_{1n}\\a_{21} & a_{22}&a_{23} &.....&a_{2n} \\a_{31} & a_{32}&a_{33} &.....&a_{3n} \\.... & ....&.... &.....&....\\.... & ....&.... &.....&....\\a_{m1} & a_{m2}&a_{m3} &.....&a_{mn}\end{bmatrix} - If a matrix has mn elements, the possible orders are m × n (or) n × m.

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- If a matrix has m rows and n columns, then the order of the matrix is m × n.