A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Which numbers a and b make the matrix singular: \left[\begin{matrix}1 & 2 &0\\ a & 8&3\\0&b&5end{matrix}\right] (Copy & Past the code for the matrix to the reply to see the matrix)

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    For a matrix to be singular det A = 0 (A is some square matrix). In your case a= 1 and b= 10 is one of the solutions. \[\left[\begin{matrix}1 & 2 &0\\ 1& 8&3\\0&10&5\end{matrix}\right]\]

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is question 16, from chapter/topic 1.5 in Linear Algebra and is Applications, by professor Strang. I should have put the solution, since it is at the end of the book. Because I wanted to see how this problem can be solved. Anyways, the answer professor gives is not a point (a, b), a and b that makes singular this matrix \[\left[\begin{matrix}1 & 2 &0\\ a & 8&3\\0&b&5\end{matrix}\right]\] is a line:\[3b + 10a = 40\] I just don't know how to get to that answer.

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I got it! x + a + 0 = 0 2x + 8 + yb = 0 0 + 5y + 3 = 0 Therefore, 3b + 10a = 40

  4. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.