Algebra lineare Esempi

$[\begin{array}{c} 1 & 0 & 0 \\ 0 & r - 3 & 3 \\ 0 & s - 2 & r + 3 \\ 0 & 0 & 4 \end{array}]$

Passaggio 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 $A_{m \times n}$ .

Passaggio 2

The number of rows is $4$ .

$m = 4$

Passaggio 3

The number of columns is $3$ .

$n = 3$

Passaggio 4

The given matrix has dimensions $m \times n = 4 \times 3$ .

$A_{m \times n} = A_{4 \times 3}$