Linear Algebra Examples

$[\begin{array}{c} 1 & 2 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 2 \end{array}]$

Step 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 $A_{m \times n}$ .

Step 2

The number of rows is $3$ .

$m = 3$

Step 3

The number of columns is $6$ .

$n = 6$

Step 4

The given matrix has dimensions $m \times n = 3 \times 6$ .

$A_{m \times n} = A_{3 \times 6}$