Answer:
dimension-crushing transformation.
Step-by-step explanation:
A dimension-crushing transformation represents a matrices of all zero vector element in it (row or column).
For instance, a three-dimensional matrix with an all zero row will take three-dimensional vectors.
A dimension-crushing transformation matrices have no inverse.
we can as well conclude that the corresponding matrices have a determinant of zero (and it's obvious from the way the determinant is calculated that this is so for matrices that are cross-cut by an all-zero row or column).
So all of this gives you a whole new geometric view on systems of linear equations.
reference: https://math.stackexchange.com/