Lineare Algebra Beispiele

A \cdot B = [\begin{matrix} 23 & - 16 - 9 & 7 \end{matrix}]

$A \cdot B = [\begin{array}{c} 23 & - 16 \\ - 9 & 7 \end{array}]$

Schritt 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 \cdot B

$A \cdot B$ , the matrix dimensions are written as

{(A \cdot B)}_{m \times n}

${(A \cdot B)}_{m \times n}$ .

Schritt 2

The number of rows is

2

$2$ .

m = 2

$m = 2$

Schritt 3

The number of columns is

2

$2$ .

n = 2

$n = 2$

Schritt 4

The given matrix has dimensions

m \times n = 2 \times 2

$m \times n = 2 \times 2$ .

{(A \cdot B)}_{m \times n} = {(A \cdot B)}_{2 \times 2}

${(A \cdot B)}_{m \times n} = {(A \cdot B)}_{2 \times 2}$