Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

xEnOnn

How can I prove that it is true that \[det(AB)=det(A) \times det(B)\] where A and B are square matrices?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. JohnnyBreuer
    Best Response
    You've already chosen the best response.
    Medals 0

    let A =2x2 and B=2x2 and compute the determinants leaving them ad-bc and eh-gf then show that the product of that is similar to the det of the product of AB

    • 2 years ago
  2. JohnnyBreuer
    Best Response
    You've already chosen the best response.
    Medals 0

    if this works on a 2x2 then show that it can used on a matrice of any eelement size so long as its square

    • 2 years ago
  3. xEnOnn
    Best Response
    You've already chosen the best response.
    Medals 0

    But is there a more proper and concrete proof instead of using the 2x2 matrix formula for determinants? I know that this is true for all matrices of order n. But I wanted to prove it in a more concrete manner.

    • 2 years ago
  4. JohnnyBreuer
    Best Response
    You've already chosen the best response.
    Medals 0

    http://algebra.math.ust.hk/determinant/05_proof/lecture3.shtml#product

    • 2 years ago
  5. JohnnyBreuer
    Best Response
    You've already chosen the best response.
    Medals 0

    i can only find proofs using elementary matrices and operations

    • 2 years ago
  6. estudier
    Best Response
    You've already chosen the best response.
    Medals 1

    http://www.ams.sunysb.edu/~andant/lectures-ams210-spring2003/04-02-03-addendum.pdf

    • 2 years ago
  7. xEnOnn
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks everyone. I will read them and come back here again if I have any doubts on it. Thanks! :)

    • 2 years ago
    • Attachments:

See more questions >>>

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.