EvrydayAzn 2 years ago what does row equivalent mean

1. abb0t

EDC!!

2. EvrydayAzn

yup

3. EvrydayAzn

PLUR!

4. abb0t

LOL!!!!

5. EvrydayAzn

by any chance can you explain what row equivalent means?

6. abb0t

I think it refers to a system which an be switched and have the same row space.

7. EvrydayAzn

ok ill work with that

8. abb0t

a system is row equivalent if you can get from one to the other using elementary row operations. Having the same number of rows is a necessary condition but don't think it's necessary to say they are row equivalent on just those conditions.

9. EvrydayAzn

ok i get it, matrices have to be the same size, nxn

10. EvrydayAzn

and you need to be able to solve them with the 3 elementary row operations

11. EvrydayAzn

and they have to share the same solution set right?

12. abb0t

Yep! If they have the same solution set, they both reduce to the same matrix in reduced row echelon form and since row operations are reversible, yo can then reverse one set of these to get from one matrix to the other by row operations and hence row equivalent.

13. EvrydayAzn

thx that was really clear and concise

14. abb0t

Curious, r u engineering major @ UCLA?

15. EvrydayAzn

nope, my friend made this account for me

16. EvrydayAzn

never had the chance to put accurate information lol

17. abb0t

Oh. Ok. Lol. Well Best of luck. Cheers.

18. EvrydayAzn

thx a bunch

19. EvrydayAzn

and here if you are ever looking for some new progressive house or anything edm in general give this page a visit https://www.facebook.com/edmatitsbest