A community for students.
Here's the question you clicked on:
 0 viewing
Gg
 5 years ago
99.2x+4y+0.3z=35.6
100x+71.8y+2.1z=50.4
100x+100y+98.4z+6.8q=71.3
x+y+z+q=1
find x,y,z and q!
Gg
 5 years ago
99.2x+4y+0.3z=35.6 100x+71.8y+2.1z=50.4 100x+100y+98.4z+6.8q=71.3 x+y+z+q=1 find x,y,z and q!

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This is the type of problem than when solved with normal algebra, takes multiple pages of work to finish. Of course, it can also be done with matrices. This is a particularly nasty problem, with four variables and decimals, so I won't even try the algebraic method. We will use matrices, with some help from a graphing calculator. We will use two matrices, [A] and [B]. [A] will be a 4x4 matrix made of the coefficients from the four equations, like this: 99.2 4 0.3 0 100 71.8 2.1 0 100 100 98.4 6.8 1 1 1 1 [B] Will be a 4x1 matrix made up of the numbers to the right of each equals sign, like so: 35.6 50.4 71.3 1 After these are plugged into your graphing calculator, we can do a bit of math with them. The formula we will use is \[[A]^{1}*[B]\] This returns this 4x1 matrix: 0.350 0.211 0.134 0.306 These are the four coordinates you end up with, x, y, z, and q, in that order. We can also express the answer as this ordered pair: (0.350, 0.211, 0.134, 0.306). I hope this helps!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.