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sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0I'm not sure what it is but this should give u a head start to what it means http://en.wikipedia.org/wiki/Column_space

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2wht i do not understand is how u make the transformations ...how do u know tht u change the places of xrow with y row...:(:(:(

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2To find the range of a matrix, just reduce it into row echelon form, and count the number of non zero rows. The number of non zero rows is the range of the matrix

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Oh! that thing, I am afraid you will have to figure that out yourself.

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2But the key is to practice more and more reduction..

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2myself????? :O I've tried to...but i don't get it :((((

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2I can help you out with a rough algorithm or something like "steps to perform", but still you will need to practice using that algorithm.

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2ok....can u explain me how u solve aproblem like this in twiddla??

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2But before that let me make sure, you want me to teach you how to reduce a matrix into row echelon form, right?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2So will I post an example? Or you will post yours

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2I'll post one dw:1329561659776:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2OK, now tell me what do you feel you must first do, and why?

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2I have no idea at all :(((

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2OK, now you have to reduce it to something like dw:1329561739686:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2With zeros in all the empty spaces, right?

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2yea tht's smth i know...

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2So start by making the top left corner 1

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2You can do that by two methods, 1. Bring the lowest row to the top, 2. Divide the first column by 3

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2The first method seems easy

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2I just exchanged row 1, and row 3

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2now u have to make 4 in the 3rd row 1 right?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Oh no, there is another, just let me write it fresh...

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0what happened to the 2 at the right corner?

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1329562219705:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1329562156101:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Now again think, to make this new matrix similar to dw:1329562260442:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2.....you need to make the first element in the 2nd row zero.

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2i think u'll get a dw:1329562374039:dw won't you???

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2i.e. the circled element dw:1329562329966:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Sorry, you lost me.. but did you understand what I meant?

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2yea yea i understood xD just tell me smth u make a diagonal =1 first and then 0 the other elements??

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2So the next step would be to subtract 2 times row1 from row2. Could you follow me?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2I mean do you feel why I am doing that?

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2no.....don't u have to make the 4 in the third row 0 first???? O.o

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Which one? Can you circle it for me?

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1329562705396:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2No, not at all. All you need to do is keep in mind the picture I gave you and proceed accordingly

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2By picture I meant, the matrix with 1 on the diagonals and 0s elsewhere.

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2see.... wht u gave me is dw:1329562830135:dw and u have 4 ones in there(a diagonal with 4 elements) ...this isn't a square matrix to get tht....O.o and u said u'd do 1(ones) all the elements of the diagonal first then 0 the other elements......

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2I am sorry, if you got that impression, but that is not exactly what I meant. I meant something of that sort that doesn't necessarily imply that it has to be 4 squared etc etc.

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2I mean after reduction your picture will look something like that funny picture.

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2ahhhhhhhhhhhhhhhaaaaaaaaaaaaaaa......I'm sorry then :/ keep going....why would u multiply first row with 2 and then subtract it to row 2

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Just to make it look like that funny picture...

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2You will end up with something like dw:1329563098194:dw

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2tht's wht i meant by this pic dw:1329563199692:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2So what do you feel? Don't you feel that once you have got the first element in the first row 1, you should now start thinking about making the one just below it zero.

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2I really don't understand that notation of yours, but do you understand mine?

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2hahhaha...yea yea xD

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2So just tell me, do you feel why I want to make the element just below 1, zero?

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0sorry to barge in but is it just any diagonal or just the diagonal that cuts through starting with the first number?

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0i mean the diagonal that must be all 1's....

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2yes yes I get this I'm gonna ask u smth just pls don't get angry....don't u have to make dw:1329563400348:dw this 1 first????

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Well, I never learnt it that way...:)

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2May be that is some other method.

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2ahhhhaaaaaaaaaa...ok then...u do wht u know...:)

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0math is a very clumsy road, u end up at the same destination

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2i wasn't ending up anywhere with this problem :P

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0did u read the manual/instruction/algorithm to solving this problem?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1329563439879:dw

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2wht did u do in there?????

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2OMG!!! I'm hopeless x( :(:(

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2wasn't the first element of the 2nd row supposed to b zero??? 2(2*1)=22=0

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Oh, does that thing look like 6, its actually 0..

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2ahhhhaaaaa...ok then xD

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Next you need to turn the first element in the third row equal to zero

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2would tht be R33R1???

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0wait so u do 1 0 0 column by column, as in one column after the other?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1329563860051:dw

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.01000 0100 0010 u should end up with this... right?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Exactly, but it may look a little different, but something similar to that.. P.S. angela210793 you typed the right notation

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2ok....no now u have to make 3 in the 2nd column zero...how do u do tht???

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2First of all, can you check, if I did the calculations correct?

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1329564323164:dw

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2i think so too O.o.....wht's next?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2So the matrix which we now have is dw:1329564404847:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Now this particular problem was prepared in such a way, that we ended up with the 2nd and third row as equal

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2But that is a nice case, it will not happen always.

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2In cases where it doesn't happen, you next intention would be to make the circled element equal to 1dw:1329564569074:dw

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Once the circle element is made 1, you will attempt to make all the elements below it equal to 0

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2can we multiply the second row with 1/7???

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Yes, that is exactly what you should have done if you were a computer.

xilem89
 2 years ago
Best ResponseYou've already chosen the best response.0can.. but it would be complicated

xilem89
 2 years ago
Best ResponseYou've already chosen the best response.0try avoiding fractions form..

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2But being a human you can see, that you can subtract the second row from the third, and write it down in the third row

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2And that will make the whole of third row equal to zero

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2ohhhhhh...well i'm not a random person...I think like a computer :P

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1329564788814:dw

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.27 is still 7...wht now?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2So now clearly you have two non zero rows, you can now say, that the range is 2

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2:O wht??? how was tht ..can u explain me once again please ???

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Just as I told you this was a nice problem. Real problems won't be like this. Here without any further reduction, it is visible, that no matter what you do, you can never make any of R2 or R1 zero... so there are two non zero rows. so t he range is 2

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2Hmmmmmmmmmmmm......ok.... Thank u very much :))))))))))) all of u, especially 2bornot2b :)) Gosh...How can u b so patient????

xilem89
 2 years ago
Best ResponseYou've already chosen the best response.0i dont understand what is range?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Here is a good problem

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2i don't think it is good :P

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2I meant it gives you the feel of what you need to do in real problems

xilem89
 2 years ago
Best ResponseYou've already chosen the best response.0ok now i understad what is range.. :)

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2And you can see in the reduction, things go in the same algorithm as I mentioned

xilem89
 2 years ago
Best ResponseYou've already chosen the best response.0so for the attachement given.. the range is 3 right?

xilem89
 2 years ago
Best ResponseYou've already chosen the best response.0ok now i understand.. but what it is for?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Something very deep xilem, its for actually solving linear equation.

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2yea...why do we need these kind of problems in business? O.o

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2But now it seems like a game

xilem89
 2 years ago
Best ResponseYou've already chosen the best response.0quoted earlier( wht i do not understand is how u make the transformations ...how do u know tht u change the places of xrow with y row...:(:(:( ) this is call transpose

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2Say I have 10 equations and each equations have 10 unknown, how are you going to solve it?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2so after having done all these things, I mean whatever you are studying, you will be able to solve linear equations without any effort.

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2i know wht transposed matrix is....i didn't know why u changed x with y and why not x with z for example

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2But how did crammer invent that? This is all behind the scenes

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2i think all these things r unnecessary.....

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2I'm going to do my hws now...hopefully i'll solve them :) thnx a lot :)

xilem89
 2 years ago
Best ResponseYou've already chosen the best response.0hurmm... sorry can u show me example of that in cramers rule?

2bornot2b
 2 years ago
Best ResponseYou've already chosen the best response.2I said that you learn linear algebra to be able to solve linear equations, and cramers rule is just a product of linear algebra, so it directly is not a problem which can be used to show the application of cramers rule.

xilem89
 2 years ago
Best ResponseYou've already chosen the best response.0no i mean for the cramers rule (.i didn't know why u changed x with y and why not x with z for example ) can u show me example?

angela210793
 2 years ago
Best ResponseYou've already chosen the best response.2this is how I've been taught cramer's rule dw:1329576915751:dw
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