# Linear transformations

Is the following transformation linear?

T: R^3 -> R^2 defined by T(x,y,z)=(x,y)

https://brainmass.com/math/linear-transformation/linear-transformations-1966

#### Solution Preview

For each transformation T you need to show that the following holds: 1.)T(X+Y)=T(X)+T(Y) and 2.)T(kX)=kT(X) where X and Y are in R^3 and k is a scalar.

First, you need to write X and ...

#### Solution Summary

This shows how to determine if a transformation is linear.

$2.19