Find the standard matrix of the linear transformation T. T: R^2->R^2 rotates points (about the origin) through 7/4π radians (with counterclockwise) rotation for a positive angle.

Step-by-step explanation:

The standard matrix A for a transformation where is a transformation that rotates each point in about the origin through an angle

Therefore the rotational transformation for

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet