Finite Math Examples

$[\begin{array}{c} \cos (x) & \sin (x) & x \cos (x) & x \sin (x) \\ - \sin (x) & \cos (x) & \cos (x) - x \sin (x) & \sin (x) + x \cos (x) \\ - \cos (x) & - \sin (x) & - 2 \sin (x) - x \cos (x) & 2 \cos (x) - x \sin (x) \\ \sin (x) & - \cos (x) & - 3 \cos (x) - x \sin (x) & - 3 \sin (x) x \cos (x) \end{array}]$

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 $4$ .

$m = 4$

Step 3

The number of columns is $4$ .

$n = 4$

Step 4

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

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