Part 2: Definitions and Theorems (1 pt.) 2. Define nonsingular and singular matrices. State 3 properties of nonsingular matrices. 3. Completely define a basis for a finite-dimensional vector space V. 4. Completely define linear combinations and linear independence of a set of vectors. 5. Completely define the nullspace and columnspace of an arbitrary matrix. 6. Completely define the subspace of an arbitrary vector space V. 7. Completely define a coordinate vector of a vector v relative to a basis # for a vector space V