Thread Subject: How to normalize and expand the elements in the matrix

Dear Sir or Madam,

Good morning, I've two questions about the operation of the matrix, and do wish you can kindly solve which for me.

1. The first question is about normalizing the elements in the matrix.
There is a matrix A, and I would like to normalize the elements in A.
By other means, the sum of each row in A is equivalent to 1.0.

For example;
A is a 2X3 matrix,
A=[0.2 ,0.8, 0.3; 0.2, 0.4, 0.4]
And I hope it'll be normalized to
B=[0.2/(0.2+0.8+0.3), 0.8/(0.2+0.8+0.3), 0.3/(0.2+0.8+0.3);
     0.2/(0.2+0.4+0.4), 0.4/(0.2+0.4+0.4), 0.4/(0.2+0.4+0.4)]

How can I get the matrix B? Thank you.

2. The second question is about expanding the multiply operation of two matrices.
There are two matrices A and B, and I would like to expand these two matrices by
the multiply operation.

For example;
A and B are 2X3 matrices both,
A=[a1, a2, a3; a4, a5, a6], B=[b1, b2, b3; b4, b5, b6]
And I hope it'll be multiplied to a 2x9 matrix, such as
A x B= [a1*b1, a1*b2, a1*b3, a2*b1, a2*b2, a2*b3, a3*b1, a3*b2, a3*b3;
           a4*b4, a4*b5, a4*b6, a5*b4, a5*b5, a5*b6, a6*b4, a6*b5, a6*b6]

How can I get the matrix AxB? Thank you.

Really thank you so much.
 

"Hero Lee" <hero@mathworks.com> wrote in message <hfit19$nm3$1@fred.mathworks.com>...
> Dear Sir or Madam,
>
> Good morning, I've two questions about the operation of the matrix, and do wish you can kindly solve which for me.

Sure! To make sure you do not even have to bother about forwarding my reply, give me the name and contact details of your professor.

We do not solve homework problems here. Show some effort and you'll meet plenty of people here willing to really help you in solving your matlab problems.

Jos

"Jos (10584) " <#10584@fileexchange.com> wrote in message <hfj6s6$bqm$1@fred.mathworks.com>...
> "Hero Lee" <hero@mathworks.com> wrote in message <hfit19$nm3$1@fred.mathworks.com>...
> > Dear Sir or Madam,
> >
> > Good morning, I've two questions about the operation of the matrix, and do wish you can kindly solve which for me.
>
> Sure! To make sure you do not even have to bother about forwarding my reply, give me the name and contact details of your professor.
>
> We do not solve homework problems here. Show some effort and you'll meet plenty of people here willing to really help you in solving your matlab problems.
>
> Jos

Dear Jos,

That's NOT a homework, but I don't know why somebody tags this question as a homework. Originally, the main purpose of these two questions is put focus on editing the MISO Fuzzy membership function more convenient. However, I feel confused why somebody tags my questions as a homework by his willing./_\

"Hero Lee" <hero@mathworks.com> wrote in message <hfj7d2$ish$1@fred.mathworks.com>...
> "Jos (10584) " <#10584@fileexchange.com> wrote in message <hfj6s6$bqm$1@fred.mathworks.com>...
> > "Hero Lee" <hero@mathworks.com> wrote in message <hfit19$nm3$1@fred.mathworks.com>...
> > > Dear Sir or Madam,
> > >
> > > Good morning, I've two questions about the operation of the matrix, and do wish you can kindly solve which for me.
> >
> > Sure! To make sure you do not even have to bother about forwarding my reply, give me the name and contact details of your professor.
> >
> > We do not solve homework problems here. Show some effort and you'll meet plenty of people here willing to really help you in solving your matlab problems.
> >
> > Jos
>
> Dear Jos,
>
> That's NOT a homework, but I don't know why somebody tags this question as a homework. Originally, the main purpose of these two questions is put focus on editing the MISO Fuzzy membership function more convenient. However, I feel confused why somebody tags my questions as a homework by his willing./_\

It certainly looks like homework, or at least an assignment given to you by someone else.

Anyways, what have you tried so far solving these questions yourself?

hth
Jos

"Jos (10584) " <#10584@fileexchange.com> wrote in message <hfjt2s$qlo$1@fred.mathworks.com>...
> "Hero Lee" <hero@mathworks.com> wrote in message <hfj7d2$ish$1@fred.mathworks.com>...
> > "Jos (10584) " <#10584@fileexchange.com> wrote in message <hfj6s6$bqm$1@fred.mathworks.com>...
> > > "Hero Lee" <hero@mathworks.com> wrote in message <hfit19$nm3$1@fred.mathworks.com>...
> > > > Dear Sir or Madam,
> > > >
> > > > Good morning, I've two questions about the operation of the matrix, and do wish you can kindly solve which for me.
> > >
> > > Sure! To make sure you do not even have to bother about forwarding my reply, give me the name and contact details of your professor.
> > >
> > > We do not solve homework problems here. Show some effort and you'll meet plenty of people here willing to really help you in solving your matlab problems.
> > >
> > > Jos
> >
> > Dear Jos,
> >
> > That's NOT a homework, but I don't know why somebody tags this question as a homework. Originally, the main purpose of these two questions is put focus on editing the MISO Fuzzy membership function more convenient. However, I feel confused why somebody tags my questions as a homework by his willing./_\
>
> It certainly looks like homework, or at least an assignment given to you by someone else.
>
> Anyways, what have you tried so far solving these questions yourself?
>
> hth
> Jos

Dear Jos,
I'm wondering whether you wholeheartedly check the content I was writing or not. Also, I cannot understand the standard of judgement of you. Basically, I've already made a clear description. and the main purpose of these two questions is put focus on editing the MISO Fuzzy membership function more convenient(This is the motivation). The first question aims at doing the normalization of irregular fuzzy membership function, and the second question aims at summarizing the integrated Multi-Inputs-Single-Output fuzzy membership functions in the fuzzy system(This is either the evidence or the purpose that the proposed question want to be worked out). Also, I just use very simple examples to present my questions. So far as I'm concerned, I definitely describe the motivation of my questions and the major purpose of the proposed question in detail. However, so far as you are concerned, you just
say "It certainly looks like homework, or at least an assignment given to you by someone else." without any theoretical and practical evidences. Which kind of evidence makes you do the judgement? Also, how about the uncertainty of the judgement you can completely figure out. Dear Jos, it's my immature belief that a researcher has to clearly understand the origin of the motivation, the probable significance, and very complete theoretical and practical evidences, when he is going to judge the contribution of the research work he is working on. Therefore, if you still insist on your thinking, please show me your evidence definitely, and tell me the percentage of the uncertainty of your judgement at the same time. Meanwhile, if you are a researcher, I would be very happy that my words can bring certain advices to you. However, if you are not a researcher, I would hope my words will not make
you feel bad. Anyway, please forgive my unwitting impoliteness. Thank you so much./_\

Moreover, dear Jos, thank you so much for you kindness, I've figured out the first question after breathing some fresh air, and am thinking about the second question. Jos, thank you so much, and wish you have a nice night.:)

Hero

"Hero Lee" <hero@mathworks.com> wrote in message <hfk2ub$cvj$1@fred.mathworks.com>...
> "Jos (10584) " <#10584@fileexchange.com> wrote in message <hfjt2s$qlo$1@fred.mathworks.com>...
> > "Hero Lee" <hero@mathworks.com> wrote in message <hfj7d2$ish$1@fred.mathworks.com>...
> > > "Jos (10584) " <#10584@fileexchange.com> wrote in message <hfj6s6$bqm$1@fred.mathworks.com>...
> > > > "Hero Lee" <hero@mathworks.com> wrote in message <hfit19$nm3$1@fred.mathworks.com>...
> > > > > Dear Sir or Madam,
> > > > >
> > > > > Good morning, I've two questions about the operation of the matrix, and do wish you can kindly solve which for me.
> > > >
> > > > Sure! To make sure you do not even have to bother about forwarding my reply, give me the name and contact details of your professor.
> > > >
> > > > We do not solve homework problems here. Show some effort and you'll meet plenty of people here willing to really help you in solving your matlab problems.
> > > >
> > > > Jos
> > >
> > > Dear Jos,
> > >
> > > That's NOT a homework, but I don't know why somebody tags this question as a homework. Originally, the main purpose of these two questions is put focus on editing the MISO Fuzzy membership function more convenient. However, I feel confused why somebody tags my questions as a homework by his willing./_\
> >
> > It certainly looks like homework, or at least an assignment given to you by someone else.
> >
> > Anyways, what have you tried so far solving these questions yourself?
> >
> > hth
> > Jos
>
> Dear Jos,
> I'm wondering whether you wholeheartedly check the content I was writing or not. Also, I cannot understand the standard of judgement of you. Basically, I've already made a clear description. and the main purpose of these two questions is put focus on editing the MISO Fuzzy membership function more convenient(This is the motivation). The first question aims at doing the normalization of irregular fuzzy membership function, and the second question aims at summarizing the integrated Multi-Inputs-Single-Output fuzzy membership functions in the fuzzy system(This is either the evidence or the purpose that the proposed question want to be worked out). Also, I just use very simple examples to present my questions. So far as I'm concerned, I definitely describe the motivation of my questions and the major purpose of the proposed question in detail. However, so far as you are concerned, you just

> say "It certainly looks like homework, or at least an assignment given to you by someone else." without any theoretical and practical evidences. Which kind of evidence makes you do the judgement? Also, how about the uncertainty of the judgement you can completely figure out. Dear Jos, it's my immature belief that a researcher has to clearly understand the origin of the motivation, the probable significance, and very complete theoretical and practical evidences, when he is going to judge the contribution of the research work he is working on. Therefore, if you still insist on your thinking, please show me your evidence definitely, and tell me the percentage of the uncertainty of your judgement at the same time. Meanwhile, if you are a researcher, I would be very happy that my words can bring certain advices to you. However, if you are not a researcher, I would hope my words will not
make
> you feel bad. Anyway, please forgive my unwitting impoliteness. Thank you so much./_\
>
> Moreover, dear Jos, thank you so much for you kindness, I've figured out the first question after breathing some fresh air, and am thinking about the second question. Jos, thank you so much, and wish you have a nice night.:)
>
> Hero

Dear Hero,

Perhaps you have missed my second statement: "Show some effort and you'll meet plenty of people here willing to really help you in solving your matlab problems." So far I have not seen you trying solving your problems yourself.

Anyways, I am happy for you that your solved your first problem, and hope you'll succeed in solving the second one as well. Good luck.

Jos

"Jos (10584) " <#10584@fileexchange.com> wrote in message <hfle62$bi7$1@fred.mathworks.com>...
> "Hero Lee" <hero@mathworks.com> wrote in message <hfk2ub$cvj$1@fred.mathworks.com>...
> > "Jos (10584) " <#10584@fileexchange.com> wrote in message <hfjt2s$qlo$1@fred.mathworks.com>...
> > > "Hero Lee" <hero@mathworks.com> wrote in message <hfj7d2$ish$1@fred.mathworks.com>...
> > > > "Jos (10584) " <#10584@fileexchange.com> wrote in message <hfj6s6$bqm$1@fred.mathworks.com>...
> > > > > "Hero Lee" <hero@mathworks.com> wrote in message <hfit19$nm3$1@fred.mathworks.com>...
> > > > > > Dear Sir or Madam,
> > > > > >
> > > > > > Good morning, I've two questions about the operation of the matrix, and do wish you can kindly solve which for me.
> > > > >
> > > > > Sure! To make sure you do not even have to bother about forwarding my reply, give me the name and contact details of your professor.
> > > > >
> > > > > We do not solve homework problems here. Show some effort and you'll meet plenty of people here willing to really help you in solving your matlab problems.
> > > > >
> > > > > Jos
> > > >
> > > > Dear Jos,
> > > >
> > > > That's NOT a homework, but I don't know why somebody tags this question as a homework. Originally, the main purpose of these two questions is put focus on editing the MISO Fuzzy membership function more convenient. However, I feel confused why somebody tags my questions as a homework by his willing./_\
> > >
> > > It certainly looks like homework, or at least an assignment given to you by someone else.
> > >
> > > Anyways, what have you tried so far solving these questions yourself?
> > >
> > > hth
> > > Jos
> >
> > Dear Jos,
> > I'm wondering whether you wholeheartedly check the content I was writing or not. Also, I cannot understand the standard of judgement of you. Basically, I've already made a clear description. and the main purpose of these two questions is put focus on editing the MISO Fuzzy membership function more convenient(This is the motivation). The first question aims at doing the normalization of irregular fuzzy membership function, and the second question aims at summarizing the integrated Multi-Inputs-Single-Output fuzzy membership functions in the fuzzy system(This is either the evidence or the purpose that the proposed question want to be worked out). Also, I just use very simple examples to present my questions. So far as I'm concerned, I definitely describe the motivation of my questions and the major purpose of the proposed question in detail. However, so far as you are concerned, you
just
>
> > say "It certainly looks like homework, or at least an assignment given to you by someone else." without any theoretical and practical evidences. Which kind of evidence makes you do the judgement? Also, how about the uncertainty of the judgement you can completely figure out. Dear Jos, it's my immature belief that a researcher has to clearly understand the origin of the motivation, the probable significance, and very complete theoretical and practical evidences, when he is going to judge the contribution of the research work he is working on. Therefore, if you still insist on your thinking, please show me your evidence definitely, and tell me the percentage of the uncertainty of your judgement at the same time. Meanwhile, if you are a researcher, I would be very happy that my words can bring certain advices to you. However, if you are not a researcher, I would hope my words will not
> make
> > you feel bad. Anyway, please forgive my unwitting impoliteness. Thank you so much./_\
> >
> > Moreover, dear Jos, thank you so much for you kindness, I've figured out the first question after breathing some fresh air, and am thinking about the second question. Jos, thank you so much, and wish you have a nice night.:)
> >
> > Hero
>
> Dear Hero,
>
> Perhaps you have missed my second statement: "Show some effort and you'll meet plenty of people here willing to really help you in solving your matlab problems." So far I have not seen you trying solving your problems yourself.
>
> Anyways, I am happy for you that your solved your first problem, and hope you'll succeed in solving the second one as well. Good luck.
>
> Jos

Dear Jos,

Well, I don't miss any statement of yours. Meanwhile, which kind of evidence supports you that you think I didn't show some effort for my question? Also, how do you understand that "I have not seen you trying solving your problems yourself."? Still the same with the above, which kind of evidence makes you strongly convince that? Dear Jos, at present, you don't show any evidence supporting your opinion, and just say it easily....

Anyway, dear Jos, I hope the text just stop from here, because here is for asking the technical questions. Also, I do anticipate that all of my words can bring you certainly positive thinking in your life. Thank you so much, and really wish you a nice day.:)

Hero

For #2, just use nested for loops - it will be the most
straightforward and understandable way to code it up. I don't know of
any one-liner tricks to do it (which might be hard to comprehend weeks
later when you or someone else looks at it again), so just do it as
you would naturally intuitively think to do it.

"Hero Lee" <hero@mathworks.com> wrote in message <hflgf6$cu5$1@fred.mathworks.com>...
* snip *
> Well, I don't miss any statement of yours. Meanwhile, which kind of evidence supports you that you think I didn't show some effort for my question? Also, how do you understand that "I have not seen you trying solving your problems yourself."? Still the same with the above, which kind of evidence makes you strongly convince that?

Well, so far you did not post any single line of (pseudo-) code in this thread ...

Jos

"Jos (10584) " <#10584@fileexchange.com> wrote in message <hfloc9$5f5$1@fred.mathworks.com>...
> "Hero Lee" <hero@mathworks.com> wrote in message <hflgf6$cu5$1@fred.mathworks.com>...
> * snip *
> > Well, I don't miss any statement of yours. Meanwhile, which kind of evidence supports you that you think I didn't show some effort for my question? Also, how do you understand that "I have not seen you trying solving your problems yourself."? Still the same with the above, which kind of evidence makes you strongly convince that?
>
> Well, so far you did not post any single line of (pseudo-) code in this thread ...
>
> Jos

Really Dear Jos,

Why do you not tell me at the beginning first...Orz
In case you tell me at the beginning, we don't need to take much time on the text....=.=

Basically, the 1st question I've been figured out, and the code is
B=A./[sum(A')' sum(A')' sum(A')'];
It might a stupid way, but it really works. Or do you have another good suggestion?

However, for the 2nd question, I still haven't much ideas about that.
The matrix I want to come out is a special matrix. I also tried to use nested for loops or "ndgrid" and "reshape" to implement it, but it cannot come out a 9X9 matrix.(Originally, I'd like to get a 2X9 matrix) I also try to expand the size of the matrix by increasing the same elements in the matrix. However, it still not works...
It's one of the simple codes I ever tried, but failed:
for i=1:3
    for j=1:3
        Z(i,j)=A(i)*B(j);
    end
end
Therefore, do you have any suggestion? Thank you so much.

Hero

Hero Lee:
Well since you at least gave it a try, I thought I've give my
version. There are probably other ways but this appears to work.

workspace; % Show the Workspace panel.
A=[1, 2, 3; 4, 5, 6]
B = [100, 200, 300; 400, 500, 600]
% A x B= [a1*b1, a1*b2, a1*b3, a2*b1, a2*b2, a2*b3, a3*b1, a3*b2,
a3*b3;
% a4*b4, a4*b5, a4*b6, a5*b4, a5*b5, a5*b6, a6*b4, a6*b5, a6*b6]
[rowsInA colsInA] = size(A)
[rowsInB colsInB] = size(B)
C = zeros(rowsInA, colsInA * colsInB);
for row = 1:rowsInA
v1 = []; % Reset to null
for col = 1:colsInA
row % Display it in the command window.
col % Display it in the command window.
% Append together.
v1 = [v1, A(row, col) * B(row, :)]
end
C(row,:) = v1;
end
C % Display it

"Hero Lee" <hero@mathworks.com> wrote in message <hfm0f2$ji2$1@fred.mathworks.com>...
> "Jos (10584) " <#10584@fileexchange.com> wrote in message <hfloc9$5f5$1@fred.mathworks.com>...
> > "Hero Lee" <hero@mathworks.com> wrote in message <hflgf6$cu5$1@fred.mathworks.com>...
> > * snip *
> > > Well, I don't miss any statement of yours. Meanwhile, which kind of evidence supports you that you think I didn't show some effort for my question? Also, how do you understand that "I have not seen you trying solving your problems yourself."? Still the same with the above, which kind of evidence makes you strongly convince that?
> >
> > Well, so far you did not post any single line of (pseudo-) code in this thread ...
> >
> > Jos
>
> Really Dear Jos,
>
> Why do you not tell me at the beginning first...Orz
> In case you tell me at the beginning, we don't need to take much time on the text....=.=
>
> Basically, the 1st question I've been figured out, and the code is
> B=A./[sum(A')' sum(A')' sum(A')'];
> It might a stupid way, but it really works. Or do you have another good suggestion?
>
> However, for the 2nd question, I still haven't much ideas about that.
> The matrix I want to come out is a special matrix. I also tried to use nested for loops or "ndgrid" and "reshape" to implement it, but it cannot come out a 9X9 matrix.(Originally, I'd like to get a 2X9 matrix) I also try to expand the size of the matrix by increasing the same elements in the matrix. However, it still not works...
> It's one of the simple codes I ever tried, but failed:
> for i=1:3
> for j=1:3
> Z(i,j)=A(i)*B(j);
> end
> end
> Therefore, do you have any suggestion? Thank you so much.
>
> Hero


OK, since you have shown some effort, I will reply with some suggestions

Q1) your solution is not stupid, but, on the other hand, not very flexible. What if A has 1000 rows? Take a look at REPMAT to expand an array.
Secondly, you might take advantage of BSXFUN

Q2) Take a look at KRON to

A = [1 2 3 ; 4 5 6] ;
kron(A,ones(1,3))
kron(ones(1,4),A)

hth
Jos

"Jos (10584) " <#10584@fileexchange.com> wrote in message <hfno81$nft$1@fred.mathworks.com>...
> "Hero Lee" <hero@mathworks.com> wrote in message <hfm0f2$ji2$1@fred.mathworks.com>...
> > "Jos (10584) " <#10584@fileexchange.com> wrote in message <hfloc9$5f5$1@fred.mathworks.com>...
> > > "Hero Lee" <hero@mathworks.com> wrote in message <hflgf6$cu5$1@fred.mathworks.com>...
> > > * snip *
> > > > Well, I don't miss any statement of yours. Meanwhile, which kind of evidence supports you that you think I didn't show some effort for my question? Also, how do you understand that "I have not seen you trying solving your problems yourself."? Still the same with the above, which kind of evidence makes you strongly convince that?
> > >
> > > Well, so far you did not post any single line of (pseudo-) code in this thread ...
> > >
> > > Jos
> >
> > Really Dear Jos,
> >
> > Why do you not tell me at the beginning first...Orz
> > In case you tell me at the beginning, we don't need to take much time on the text....=.=
> >
> > Basically, the 1st question I've been figured out, and the code is
> > B=A./[sum(A')' sum(A')' sum(A')'];
> > It might a stupid way, but it really works. Or do you have another good suggestion?
> >
> > However, for the 2nd question, I still haven't much ideas about that.
> > The matrix I want to come out is a special matrix. I also tried to use nested for loops or "ndgrid" and "reshape" to implement it, but it cannot come out a 9X9 matrix.(Originally, I'd like to get a 2X9 matrix) I also try to expand the size of the matrix by increasing the same elements in the matrix. However, it still not works...
> > It's one of the simple codes I ever tried, but failed:
> > for i=1:3
> > for j=1:3
> > Z(i,j)=A(i)*B(j);
> > end
> > end
> > Therefore, do you have any suggestion? Thank you so much.
> >
> > Hero
>
>
> OK, since you have shown some effort, I will reply with some suggestions
>
> Q1) your solution is not stupid, but, on the other hand, not very flexible. What if A has 1000 rows? Take a look at REPMAT to expand an array.
> Secondly, you might take advantage of BSXFUN
>
> Q2) Take a look at KRON to
>
> A = [1 2 3 ; 4 5 6] ;
> kron(A,ones(1,3))
> kron(ones(1,4),A)
>
> hth
> Jos

Dear Jos and ImageAnalyst,

Really thanks for your suggestions, I'll keep trying to work out the questions by following your suggestions. Thanks for giving me a hint of "REPMAT" and "KRON", and that's really a good suggestion. Also, I'd paste my codes under this thread if my codes cannot work smoothly again. Really thank you so much.

Hero