Lineare Algebra Beispiele

⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 & 0 & 0 & 6 & 15 0 & 1 & 0 & 9 & - 1 0 & 0 & 1 & 0 & - 8 0 & 0 & 0 & 0 & 0 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦

$[\begin{array}{c} 1 & 0 & 0 & 6 & 15 \\ 0 & 1 & 0 & 9 & - 1 \\ 0 & 0 & 1 & 0 & - 8 \\ 0 & 0 & 0 & 0 & 0 \end{array}]$

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

$A$ , the matrix dimensions are written as

A_{m \times n}

$A_{m \times n}$ .

Schritt 2

The number of rows is

4

$4$ .

m = 4

$m = 4$

Schritt 3

The number of columns is

5

$5$ .

n = 5

$n = 5$

Schritt 4

The given matrix has dimensions

m \times n = 4 \times 5

$m \times n = 4 \times 5$ .

A_{m \times n} = A_{4 \times 5}

$A_{m \times n} = A_{4 \times 5}$