How to write function for above combine matrix?

A = [2,4]
A = [1 1 1 1 ; 1 1 1 1; 2 2 2 2; 2 2 2 2; 3 3 3 3; 3 3 3 3]
what will be the funtion for A= [7,4]
or using any random variable?
A should give (3n by m) matrix

15 Comments

See repelem() and repmat()
And possibly kron()
What would A[7,3] look like?
I do not understand why 7 3 would result in single rows of 1 and 11, and not two rows of 1 with no 11.
RAHUL ANTIL comments to Adam Danz
A[7,3] A = [ 1 1 1
2 2 2
2 2 2
3 3 3
3 3 3
4 4 4
4 4 4
5 5 5
5 5 5
6 6 6
6 6 6
7 7 7
7 7 7
8 8 8
8 8 8
9 9 9
9 9 9
10 10 10
10 10 10
11 11 11 ]
RAHUL ANTIL comments to me:
sorry its 2 rows of 1 and single row of 11
RAHUL, please do not use "flag" unless you need to alter [sic. "alert" is what was intended I think (dpb] the moderators about something.
To respond to us, click on the "Comment on this Question" link just below this box.
A(n,m) gives (3n,m) matix
A[7,3] A = [ 1 1 1
1 1 1
2 2 2
2 2 2
3 3 3
3 3 3
4 4 4
4 4 4
5 5 5
5 5 5
6 6 6
6 6 6
7 7 7
7 7 7
8 8 8
8 8 8
9 9 9
9 9 9
10 10 10
10 10 10
11 11 11 ]
Sorry, my pattern recognition skills require more time than I'd like to spend trying to figure out the relationship between the input and output. Can you explain the pattern in words?
Write a function called trio that takes two positive integer inputs n and m. The function returns a 3n-by-m matrix called T. The top third of T (an n by m submatrix) is all 1s, the middle third is all 2-s while the bottom third is all 3-s. For an example,see the code below:
M = trio(2,4)
M =
1 1 1 1
1 1 1 1
2 2 2 2
2 2 2 2
3 3 3 3
3 3 3 3
[My function generate correct pattern when (n) is even.]
@RAHUL ANTIL: please show us the function you wrote.
function T = trio(n,m)
n = 3*n;
w = (n)/2;
y = ceil(w);
A = [1:y]';
B = ones(2,m);
T = kron(A,B);
ahhhh... there we go. That's more valuable than any example or description.
NOTE: The code provided above by OP is apparently incorrect and the pattern is still unexplained.
This is what I came up with ...Hope this helps!!!
function T= trio(n,m);
n=3*n;
T1= ones(n/3,m);
T2= 2*ones(n/3,m);
T3= 3*ones(n/3,m);
T= [T1;T2;T3];

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Answers (7)

function T=trio(n,m)
a=ones(n,m);b=2*a;c=3*a;
T=[a;b;c];
end

4 Comments

most easiest coding of the world
This does not produced the expected pattern described by OP.
function T=trio(n,m)
a=ones(n,m);b=2.*a;c=3.*a;
T=[a;b;c];
he should have added dot to perform array multiplication.
When at least one of the operands is a scalar then the * operator does element by element multiplication and acts like .*

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n = 7;
m = 3;
A = repelem((1:ceil((3*n)/2))',2,m);

9 Comments

@Adam Danz
Variable A should be size of [21,3] but the output is [22,3].
It's producing the exact same output as your function which, given those inputs, produces a 22x3 matrix.
T = trio(7,3);
>> size(T)
ans =
22 3
The function returns a 3n-by-m matrix called T.
I was getting the same result before.
Your function and the code in my answer produce the exact same results
% YOUR CODE
n = 7;
m = 3;
% T = trio(n,m)
n = 3*n;
w = (n)/2;
y = ceil(w);
A = [1:y]';
B = ones(2,m);
T = kron(A,B);
% MY CODE
n = 7;
m = 3;
A = repelem((1:ceil((3*n)/2))',2,m);
% COMPARE THE RESULTS
isequal(A,T)
ans =
logical
1 % <---- exactly the same results
Run that code and look at your T and my A. They are exactly the same.
Our code print the same result. But my point is that when n=7;m=3, than output matrix size should be [21,3].
our code print the matrix size of [22,3]. That's wrong
How can anyone here know what your code is supposed to do?
My code is wrong I know that and that's why I'm here seeking for help.
Ok. What patterns are you looking for? Can you explain it in words?
Change Adam's ceil() to floor(). Then at the end if size(A,1) is not a multiple of 3, append 3-mod(number_of_rows,3) copies of a row with the next integer.

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T = [7,3]
T =
[ 1 1 1
1 1 1
2 2 2
2 2 2
3 3 3
3 3 3
4 4 4
4 4 4
5 5 5
5 5 5
6 6 6
6 6 6
7 7 7
7 7 7
8 8 8
8 8 8
9 9 9
9 9 9
10 10 10
10 10 10
11 11 11]
I want above pattern, matrix size is [21,3].

3 Comments

What rules did you follow to build this matrix?
uhhh combination rule of matrix
Uhhhh...which combinaton "rule" is that?
You have N copies of two but only one for the last...whassup w/ that?

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V. Given
3157926
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221810.58
7925651
5511591
1172396
00.50.370.20.10.9
x
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Write the answer of the following comment:
a. x(3,5)
b. x(7,7)
c. x(1:5, :)
d. x(1:end, :)

1 Comment

no, this is a completely incorrect answer to the question asked by RAHUL.

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dpb
dpb on 13 Jun 2020
Edited: dpb on 14 Jun 2020
" want above pattern, matrix size is [21,3]."
ADDENDUM/ERRATUM:
[But we have now learned that that is NOT even the correct description of the assignment -- there is no "odd man out" in the desired result, the output is always a multiple of 3x the requested N so there is never an odd set.]
Original solution moved to end solves the problem as first described simply to reproduce a given stated output; will leave but the problem described is solved as
function T=trio(n,m)
% build 3*n x m output matrix with thirds of vectors of 1, 2, 3, respectively.
T=kron([1:3].',ones(n,m));
end
I would suggest NOT turning in the above Answer to a homework assignment, however -- is NOT going to pass the smell test of something most beginning students will have come up with on own.
"Just sayin'..." :)
END ADDENDUM/ERRATUM --
ORIGINAL ANSWER FOLLOWS...BUT ANSWERS DIFFERENT QUESTION/PATTERN
R=21;C=3;N=2; % define parameters, R, C, repeat count
P=kron([1:ceil(R/N)].',ones(N,C)); % pattern complete N*ceil(R/N) rows
P=P(1:R,:); % fixup for odd man out if mod(R,N)~-0
results in
>> P=kron([1:ceil(R/N)].',ones(N,C)); P=P(1:R,:)
P =
1 1 1
1 1 1
2 2 2
2 2 2
3 3 3
3 3 3
4 4 4
4 4 4
5 5 5
5 5 5
6 6 6
6 6 6
7 7 7
7 7 7
8 8 8
8 8 8
9 9 9
9 9 9
10 10 10
10 10 10
11 11 11
K>>
function T = trio(n,m)
T1 = ones(n,m); //this just creates the body for us to use, you can also use zeros
T = [T1;T1+1;T1+2]; //adding them base on the required output
end

1 Comment

Adam Danz
Adam Danz on 22 Jun 2020
Edited: Adam Danz on 22 Jun 2020
This doesn't even come close to producing the desired outputs.
To come closer, you would need a 3rd input to indicate the number of replications and then you could use that 3rd input to produce T instead of manually concatenating replications of T1.
But even then the function wouldn't be doing what the OP is asking for.

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I got the following answer to this question.....
function T=trio(n,m)
a=ones(n,m);
b=2*ones(n,m);
c=3*ones(n,m);
T=cat(1,a,b,c);
end

Asked:

on 2 Jun 2019

Answered:

on 30 Mar 2022

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