I am brand new to learning about subspaces in my linear Algebra class. Ive tried to follow khan academy but to no avail. I encountered these practice problems in the textbook. However my textbook inconveniently provides answers for odd numbered problems only.
I want to further my understanding. Could someone please explain how to go about these problems?
Given vector space V = the set of all 2 × 2 matrices.....
Does the set of all 2 × 2 nonsingular matrices form a subspace of V? Explain. Does the set of all 2 × 2 singular matrices form a subspace of V? Explain.
Thank you :)