The Purplemath Forums

I am having some trouble with the following two questions. Any help would be greatly appreciated! The first question: a. Use matrix multiplication to show that if x 0 is a solution of the homogeneous system Ax = 0 and x 1 is a solution of the nonhomogeneous system Ax = b , then x 0 + x 1 is also a s...

omg that was so much easier than i was making it out to be. Thanks so much!!!!!

We are doing vector spaces in my math class right now and I'm TOTALLY lost. Here are a few of the problems I don't get: Let u and v be (fixed) vectors in the vector space V . Show that the set W of all linear combinations a b + b v of u and v is a subspace of V . Prove: If the (finite) set S of vect...