I've been asked a question in an assignment that I find a bit vague. In it we are given a matrix:
And it asks for the size of the nullspace and columnspace. I can find the nullspace and columnspace quite easily, but I am unsure what they want in regard to size.
the nullspace is:
my initial reaction is that the nullspace is size of 2 (2 vectors create it), subsequently the columnspace is size of 3 (3 vectors create it). Can anyone confirm/deny+correct this?