So I have this question:

Find linear transformations of R2 which satisfy the following conditions: Sends the line y = 4x to the origina, but isn't the zero map.

I know that my teacher doesn't want us to use [0, 0, 0, 0] but rather find a transformation that sends the line back to the origin of the plane.

so y = 4x can become y - 4x = 0, so I would have to make both y and x 0 to make them collapse to the origin, right?