Линейная алгебра Примеры

[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]

$[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$

Этап 1

A matrix is a rectangular arrangement or array of elements. The dimensions of a matrix,

m \times n

$m \times n$ , identify how many rows and columns a matrix has.

m

$m$ represents the number of rows and

n

$n$ represents the number of columns. Assuming that the matrix name is

A

$A$ , the matrix dimensions are written as

A_{m \times n}

$A_{m \times n}$ .

Этап 2

The number of rows is

3

$3$ .

m = 3

$m = 3$

Этап 3

The number of columns is

3

$3$ .

n = 3

$n = 3$

Этап 4

The given matrix has dimensions

m \times n = 3 \times 3

$m \times n = 3 \times 3$ .

A_{m \times n} = A_{3 \times 3}

$A_{m \times n} = A_{3 \times 3}$