# Transformation Matrix

Gold Member
Given a transformation matrix T, which maps objects (x,y) to the image (x',y'). The inverse of T will map the image back to the object.

Just wondering, what happens if matrix T is singular i.e. det(T)=0? Then there is no matrix to map the images back to the object.

My teacher said that he thinks a transformation matrix will never be singular, but he wasnt 100% sure, so im just wanting to confirm.

Thanks,
Dan.

Homework Helper
My teacher said that he thinks a transformation matrix will never be singular, but he wasnt 100% sure, so im just wanting to confirm.

Thanks,
Dan.

If, by "transformation matrix", you mean the matrix representation of a linear operator, then of course it can be singular. Think of the mapping A : x --> 0, for every x from the domain.

HallsofIvy