A community for students.
Here's the question you clicked on:
 0 viewing
Dido525
 2 years ago
Let A be a 3 × 3 matrix whose entries are 17 or 0. What is the largest possible value for det(A) ?
Dido525
 2 years ago
Let A be a 3 × 3 matrix whose entries are 17 or 0. What is the largest possible value for det(A) ?

This Question is Closed

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Since it say's OR I am actually not sure how I would do this. Setting all the entries to 17 simply makes the determinant 0.

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0true because all would be 0

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1359528317295:dw

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0That's such a stupid question then...

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Are you sure though? What if some of them are 17 and some of them are 1?

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Like if I change 2 of those to 0 the determininant become 4913 all of a sudden.

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0maybe thinking off this as M or C matrices i forgot what they're called

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1359528522846:dw

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0now each one of those cofactors i think they're called =dw:1359528606154:dw

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0that's why you'll get zero if you put 17's all in it

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Okay but what if I put SOME of them as 17 and SOME of them as 0. Then it a lot bigger.

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0there was also a theory i think if i remember that if you somehow prove that two vectors are just combinations of the other... then you can prove it's zero also

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0because if two are the combinations of each other than you can reduce them down to [17 17 17] and then if you can easily get a row of zeroes

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0SO clearly, there is a maximum.

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1359528911003:dw

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1359528962928:dw

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0is this what you got?

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0so i'm thinking the rule is the largest determinant comes from having vectors that are dependent of one anothre

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0so the largest happens when all are independent of one another
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.