Let TR2 rightarrow R2 be counter clockwise rotation about th

Let T:R^2 rightarrow R^2 be counter clockwise rotation about the origin by 135 degrees Find the most appropriate answer from the given choices to each of the following questions using the apps posted on C4 this week

Solution

Domain is R^2

Co Domain = R^2

Range = R^2

T is both one one and on to

After rotation, T(X) can not be X unless , X is the origin. So only (0,0) is the point

After rotation T(X) = 0 . So it is only origin.

T(6,3) = (-6.36,2.12)

T(X) = (3,3)

X= (0,-4.24)