what does row equivalent mean

Question

abb0t · Answer

EDC!!

anonymous · Answer

yup

anonymous · Answer

PLUR!

abb0t · Answer

LOL!!!!

anonymous · Answer

by any chance can you explain what row equivalent means?

abb0t · Answer

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

anonymous · Answer

ok ill work with that

abb0t · Answer

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

and they have to share the same solution set right?

abb0t · Answer

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.

anonymous · Answer

thx that was really clear and concise

abb0t · Answer

Curious, r u engineering major @ UCLA?

anonymous · Answer

nope, my friend made this account for me

anonymous · Answer

never had the chance to put accurate information lol

abb0t · Answer

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

anonymous · Answer

thx a bunch

anonymous · Answer

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