A community for students.
Here's the question you clicked on:
 0 viewing
kenneyfamily
 3 years ago
how would you solve the following system using an inverse matrix?
4x  y = 1
x + 2y = 7
kenneyfamily
 3 years ago
how would you solve the following system using an inverse matrix? 4x  y = 1 x + 2y = 7

This Question is Closed

Rudy
 3 years ago
Best ResponseYou've already chosen the best response.1You can turn this system of equations into matrices. A=[4 1; 1 2] and b=[1; 7] And your unknowns will be: u = [x, y] What you have then is: Au=b To solve for the unknowns, you would PREmultiply both sides times the inverse of A inv(A)*A*u=inv(A)*b Identity*u=inv(A)*b u=inv(A)*b

Rudy
 3 years ago
Best ResponseYou've already chosen the best response.1fyi, since: \[inv(A)=\left[\begin{matrix}2/9 & 1/9 \\ 1/9 & 4/9\end{matrix}\right]\] you have: \[\left[\begin{matrix}2/9 & 1/9 \\ 1/9 & 4/9\end{matrix}\right]\left(\begin{matrix}1 \\ 7\end{matrix}\right)\]=\[\left[ \left(\begin{matrix}1 \\ 3\end{matrix}\right) \right]\] Which means: x=1 and y=3
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.