>>11800750I know exactly what you're talking about because every linear algebra class is like this. They start out with some easy matrix operations, then they tell you what a vector space is, then on the test they ask you something like if
>Determine if the set of all 2x2 matrices whose first entries equal zero form a vector spaceAnd you have never ever seen a question like that before. If you learn math as a cookbook of black magic equations and operations you will never be able to answer questions like this. You have to understand how a vector space is defined, and the answer is easily procured from applying the definition of a vector space.
