Algebra Examples

[\begin{matrix} 8 & 7 & 6 5 & 4 & 3 \end{matrix}]

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

Step 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}

$A_{m \times n}$ .

Step 2

The number of rows is

2

$2$ .

m = 2

$m = 2$

Step 3

The number of columns is

3

$3$ .

n = 3

$n = 3$

Step 4

The given matrix has dimensions

m \times n = 2 \times 3

$m \times n = 2 \times 3$ .

A_{m \times n} = A_{2 \times 3}

$A_{m \times n} = A_{2 \times 3}$

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