Chapter 14, Problem 19CT

To determine

Tofind: the coordinates of the image of the origin under mapping.

Answer to Problem 19CT

The coordinates of the image of the origin is $\left(-2,-1\right)$ .

Explanation of Solution

Given information:

The points are is $\left(4,1\right)\text{ to }\left(6,2\right)$ . And translation is $T^{-1}$ .

Calculation: since, the translation mapping is $T:\left(4,1\right)\to \left(6,2\right)$ ,

After translation $T^{-1}:\left(6,2\right)\to \left(4,1\right)$

So the image of the origin after translation of $T^{-1}$ is $\left(-2,-1\right)$ .