Recent content by jacko_20

The question is: What is [T(e2)]B? Thanks.

Hey i was just doping someone wouldn't mind looking over my working to see if I am on the right track! *T(x,y,z)=(-x-y-z,x+y-5z,-3x-3y+3z) is a linear transformation. S is the standard basis, S={e1,e2,e3} and B is another basis, B={v1,v2,v3} where: e1=(1,0,0) e2=(0,1,0) e3=(0,0,1) v1=(1,1,1,)...

Thanks mjsd! So it is correct that none of the other axioms apart from 4.b) depend on u1 or v1?

We define: <u,v>=u2v2+u3v3 For vectors u=(u1,u2,u3) and v=(v1,v2,v3) in R3. Explain the reasons why this is not an inner product on R3. I have completed the 4 axioms as below: 1. <u,v>= u2v3 + u3v3 =v2u2 + v3u3 =<v,u> 2.<cu,v> = cu1v2+cu2v2...

* Determine whether H, a subset of the vector space V, is a subspace of V. V=P3, H={p is an element of P3: p(0)=0 Any help is greatly appreciated!

* If p1,p2,……pm span Pn, write down a mathematical relationship between m and n. I know that Pn means the space of all polynomials of degree at most n, and this is an (n+1) dimension space, but I am not sure what kind of mathematical relationship the question is looking for :s Any help is...