The system of equations given during Claire's linear algebra aptitude test is: x+2y+3w+4z=10 2x-y+w-z=1 3x+y+4w+3z=11 -2x+6y+4w+10z=18(However Clare's comment, "Is this a joke?", is pertinent. It is indeed a joke. A solution is simple and ridiculous: x = y = w = z = 1. However, it is not the only solution. For example, x=2.4, y=3.8, w=z=0 is also a solution. The complete solution could be written as: x=2.4-s-.4t y=3.8-s-1.8t w=s z=t For all real values of s, t.
When discussing forensics, Gretchen describes the "Jump, Push, Fall" analysis as something she "saw on Crossing Jordan (2001)". Tim Kring, created both that series and "Heroes".
There is a character named Lydia, who is a tattooed lady. There is a song called "Lydia the tattooed lady" which was popularized by Groucho Marx.
Samuel Sullivan gives the opening dialogue in the series premiere. Mohinder, Nathan,Sylar had all had an opening dialogue.
During the algebra placement test, the professor can be seen reading Pride and Prejudice and Zombies.