A community for students.
Here's the question you clicked on:
 0 viewing
 3 years ago
Find a nonzero, twobytwo matrix such that:
[6, 5] x [__, __] = [0, 0]
[24, 20] [__, __] [0, 0]
These are all 2x2 matrices.
How do we find the missing numbers?
 3 years ago
Find a nonzero, twobytwo matrix such that: [6, 5] x [__, __] = [0, 0] [24, 20] [__, __] [0, 0] These are all 2x2 matrices. How do we find the missing numbers?

This Question is Closed

dave444
 3 years ago
Best ResponseYou've already chosen the best response.3Not true. \[\left[\begin{matrix}5 & 5 \\ 6 & 6\end{matrix}\right]\] will do the trick.

dave444
 3 years ago
Best ResponseYou've already chosen the best response.3Wondering how I obtained the above answer? Simply carry out the following matrix multiplication: \[\left[\begin{matrix}6 & 5 \\ 24 & 20\end{matrix}\right]\left[\begin{matrix}a & b \\ c & d\end{matrix}\right]= \left[\begin{matrix}0 & 0 \\ 0 & 0\end{matrix}\right]\] You'll get two systems of two equations in two unknowns. The first two will involve a and c the second b and d. They are homogeneous equations (right hand sides are zero), but they are dependent (one equation in a pair is a multiple of another.) So we can let one of the variables be a parameter and solve for the other. There are an infinite number of solutions. Any multiple of the matrix I gave will also work.
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.