Matrix

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Definition
Matrix

A rectangular array of numbers in [math]m[/math] rows and [math]n[/math] columnss is called a matrix of order [math]m\times n[/math]
If [math]A[/math] is a matrix of order [math]m\times n[/math] we write [math]A=(a_{i,j})_(m\times n)[/math]



Examples

[math]A=\begin{pmatrix} 1 & 3 &-4 \\ 0 & -1 & 5 \\ 3 & 4 & 8 \end{pmatrix}[/math] is a [math]3\times 3[/math] matrix


[math]B=\begin{pmatrix} 1 & 3 &-4 & 1 \\ 0 & -1 & 5 & 7 \\ 3 & 4 & 8 & 2 \end{pmatrix}[/math] is a [math]3\times 4[/math] matrix