Linear Algebra Examples

b = ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} - 33 & - 41 - 45 & 22 48 & 9 49 & 30 - 16 & - 48 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦

$b = [\begin{array}{c} - 33 & - 41 \\ - 45 & 22 \\ 48 & 9 \\ 49 & 30 \\ - 16 & - 48 \end{array}]$

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

b

$b$ , the matrix dimensions are written as

b_{m \times n}

$b_{m \times n}$ .

Step 2

The number of rows is

5

$5$ .

m = 5

$m = 5$

Step 3

The number of columns is

2

$2$ .

n = 2

$n = 2$

Step 4

The given matrix has dimensions

m \times n = 5 \times 2

$m \times n = 5 \times 2$ .

b_{m \times n} = b_{5 \times 2}

$b_{m \times n} = b_{5 \times 2}$