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.....
*1) Show that the sum of two 2 × 2 nonsingular matrices may be singular. 2) Show that the sum of two 2 × 2 singular matrices may be nonsingular.*