Let S be a subset of an F-vector space V. Show that V is a subspace of Span(S).
Let a,b be coprime integers. Prove that every integer
Let F be a field and consider the ring of polynominals in two variables over F,F[x,y]. Prove that the functions sending a polyomial f(x,y) to its degree in x, its degree in y, and its total degree (i.e, the highest
The coefficient matrix for a system of linear differential equations of the form
Write the vector v in the form ai + bj, given its magnitude ∥v∥∥v∥ and the angle