الجبر الخطي الأمثلة

$[\begin{array}{c} 1 & 2 \\ 5 & 5 \\ 10 & 3 \\ 4 & 6 \\ 7 & 0 \end{array}]$

خطوة 1

A matrix is a rectangular arrangement or array of elements. The dimensions of a matrix, $m \times n$ , identify how many rows and columns a matrix has. $m$ represents the number of rows and $n$ represents the number of columns. Assuming that the matrix name is $A$ , the matrix dimensions are written as $A_{m \times n}$ .

خطوة 2

The number of rows is $5$ .

$m = 5$

خطوة 3

The number of columns is $2$ .

$n = 2$

خطوة 4

The given matrix has dimensions $m \times n = 5 \times 2$ .

$A_{m \times n} = A_{5 \times 2}$