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

Question

anonymous · Answer

is that one vector?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

let t =1

{sin(1),sin(2),sin(1)cos(1)}

anonymous · Answer

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 |dw:1281422440903:dw|