Recent content by ihumayun

Ohhhhhohoh. n(n+1)/2. I get it now. Thank you for your help! I also realized this could be derived by looking at the triangles as half a square, and since the number of dots in a square in n^2, The number in a triangle is (n^2)/2, + n/2 to account for the dots that are cut in half when the...

Homework Statement Its a series of triangles, the data table being n-# 1-1 2-3 3-6 4-10 5-15 I need a general equation in terms of n. Homework Equations The Attempt at a Solution I can't really find anything. The solution has to be non-recursive, and i can find a bunch of...

I've submitted the answer and it is incorrect. Can anyone tell me why?

Homework Statement Find y as a function of x if y'''−11y''+28y'=0 y(0)=1 y'(0)=7 y''(0)=2 I have one attempt left on this question. Could someone verify my answer for me? Homework Equations The Attempt at a Solution (use t as lamda) t^3-11t^2+28t=0...

So I have it right then. I guess the site is being picky with the answer format or something. Thank you!

Homework Statement Solve the following equation for Z, find all solutions. z2 -2z + i = 0 Homework Equations [-b(+/-) sqrt(b2-4ac)]/2a The Attempt at a Solution Using the equation above, z = [2 (+/-) sqrt( (-2)2 - 4 (1) (i)) ]/ 2(1) =[2 (+/-) sqrt ( 4 - 4i)]/2 =...

Thank you for your help!

Oh, I just got it. x = -2t y = s, not 0 and z = t which means that the vector would be: (-2t , s, t)T = (-2t, 0, t)T + ( 0, s, 0)T which gives the bases (-2, 0, 1)T, and (0, 1, 0)T

So how would I find the bases in that case?

Because the equation was x +2z = 0 or 1x + 0y +2z = 0 y is nonexistent in this case. I assumed that would mean it would be equal to 0 in the basis, but like I said, I wasn't sure if I had calculated the basis correctly. How would I find a value for y?

I also thought that there should be only one basis, but the question asks for 2, and my prof confirmed this. I still don't understand how this would work though. My work: x+2z=0 2z = -x z = - x/2 So if I set x with the parameter t, x=t y=0 and z = -t/2, or (-1/2) t Sorry I...

Homework Statement The matrix A= 2 0 4 -2 0 -4 -1 0 -2 has one real eigenvalue. Find this eigenvalue and a basis of the eigenspace. Eigenvalue = Basis ( , , )T , ( , , )T Homework Equations The Attempt at a Solution I have found the...