Question

In the vector space of all real-valued functions, find a basis for the subspace spanned by {sint, sin2t, sintcost}

Answer 1

is that one vector?

Answer 2

no, i don't think so. this is linear algebra not calculus lol

Answer 3

yeah i know i just took a test today on spanning sets

Answer 4

let t =1

{sin(1),sin(2),sin(1)cos(1)}

Answer 5

like say if you had a span of this

\[{2t,t,5t}\] it has a many solution that the set can be a subspace

so if you were to make t = 1, one solution would be {2,1,5}

some books show it sometimes like this