Recent content by sintec

I need a little help with combinatorics. 2 Students have 6 dollar notes worth 500 dollars, and 4 notes worth 1000 dollars. Notes with the same value are not distinguished. A-How many ways to split the notes B-How many ways to split the notes, so that both get an equal amount of notes...

How can I show that 2 lines lie in the same plane? How can I get the equation of that plane? Thanks!

What's the basis for this subspace? V={p an element of R^4[x]; p'(1)=p(1)=0}

Thanks HallsofIvy!

Thanks Muzza, I think i got it now.

I can't solve a problem about subspaces. Help would be great! U and V are subspaces in the vector space R^4[x] given with: U={p(x)=a0+a1*x+a2*x^2+a3*x^3+a4*x^4; a1+a2+a3+a4=0, a1+a2+2a3+2a4=0, a0+a1=a3+a4} V=L{x^3-x^2+x, x^4+1} Find the dimensions and basis for U, U+V and U?V. Is...

I think i got it now. So the transformation matrix A is : [2 1 0 ] [1 1 -1] [0 2 1] Is that correct? I'm not sure how to do that.

How do i do that? From the standard basis to the standard basis? I actually have problems with transforming a matrix from one basis to another.

Yes, a more complete explanation would be very helpful. Thanks, for the reply!

In a vector space R^3, is given a transformation A with a subscript A(x1,x2,x3)=(2*x1+x2, x1+x2+2*x3, -x2+x3). Linear transformation B has in the basis; (1,1,1), (1,0,1), (1,-1,0) a matrix T: [-1 2 3] [ 1 1 0]...