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# Write a function called halfsum that takes as input an at most two-dimensional array A and computes the sum of the elements of A that are in the lower right triangular part of A

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Will Gotcher il 7 Set 2016
Chiuso: Image Analyst il 13 Giu 2020
Write a function called halfsum that takes as input an at most two-dimensional array A and computes the sum of the elements of A that are in the lower right triangular part of A, that is, elements in the counter-diagonal (going from the bottom left corner, up and to the right) and elements that are to the right of it. For example, if the input is [1 2 3; 4 5 6; 7 8 9], then the function would return 38.
This is all I have so far:
function sum=halfsum(v)
sum=0;
[row col]=size(v);
for i= 1:row;
for j=1:col;
I have spent hours on trying to figure out how to sum the reverse diagonal starting at the bottom left element and everything to the right of it and cannot seem to figure it out. Any help is greatly appreciated!
##### 6 CommentiMostra 4 commenti meno recentiNascondi 4 commenti meno recenti
TINOY SANTRA il 13 Giu 2020
i did this code and it worked fine
Image Analyst il 13 Giu 2020
Do not post up here. If you think that none of the 18 answers below and 2 answers above answer the question and that your answer offers something unique, then you can reopen the question to post your answer that is different than the prior 20 solutions.

### Risposta accettata

James Tursa il 7 Set 2016
Modificato: James Tursa il 7 Set 2016
Ask yourself, "what does it mean to be in the lower right triangle" in terms of i and j? I.e., what test could you make on i and j to determine if you were in the lower right triangle? Then code that up inside your for loops. E.g.,
mysum = 0; % <-- Changed sum to mysum since sum is the name of a MATLAB function
[row,col] = size(v);
for i= 1:row
for j=1:col
if( in lower right triangle ) % <-- you put test code inside parentheses
mysum = mysum + v(i,j);
end
end
end
So, you just need to figure out a test you can make on i and j to determine if you are in the lower right triangle, and insert that code inside the parentheses as noted above. If you can't figure this out immediately, write down all of the i,j pairs for a small matrix on a piece of paper and then look for a pattern that you can exploit and code up that isolates the lower right triangle. Do an example for both a square and non-square matrix to make sure the code you come up with works in both cases.
SIDE NOTE: There are ways to do this without a double for loop, but you should first learn how to do this with for loops.
##### 2 CommentiMostra NessunoNascondi Nessuno
Will Gotcher il 20 Set 2016
Hey James,
Late response I know. Thanks for the reply. That is roughly the code I had at the time of posting the question. Do you have any tips how I can single out the bottom right triangle? I have spent several full days trying to figure this out and just cannot get it. Thanks!
Image Analyst il 21 Set 2016
Uh Will, you could use my code. Did you even see it or try it??? It only accesses elements in the lower right triangle.

### Più risposte (17)

Vikrant Prasad il 22 Mar 2019
function summa = halfsum(A)
[row, col]=size(A);
sum=0;
for i=1:row
for j=i:col
if i<=j
sum= sum + A(i,j);
end
end
end
summa =sum;
end
##### 3 CommentiMostra 1 commento meno recenteNascondi 1 commento meno recente
Image Analyst il 31 Mar 2019
Modificato: Image Analyst il 31 Mar 2019
Did you try
if i>=j
and it didn't work??? Or did you do
summa = sum(A(triu(A)))
You didn't use sum for the name of the variable, contrary to what I said in my answer, did you??
Please attach the code so we can check why it's not working.
mayank ghugretkar il 10 Giu 2019
another similar way
1. with for loop
function summa=halfsum(A)
[row col]=size(A);
summa=0;
j=0;
for i=1:row
for j=1:col
if j>=i
summa= A(i,j) +summa;
end
end
end
end
2. with While loop
function summa=halfsum(A)
[row col]=size(A);
summa=0;
for i=1:row
j=i;
while (j>=i && j<=col)
summa= A(i,j)+ summa;
j=j+1;
end
end
summa;
end
i love trying this things... simplifying n solving

function u = halfsum(P)
u1 = P(end:-1:1, 1:end);
u2 = triu(u1);
u = sum(u2(:));
end
##### 3 CommentiMostra 1 commento meno recenteNascondi 1 commento meno recente
William Gallego il 3 Nov 2018
Modificato: William Gallego il 3 Nov 2018
Great, I understood both ways. Actually, I spent most of my time trying to figure out the loop for ii=m:-1:1. I forgot to count backward :(. Thanks for the help!
Mukti Awad il 16 Ago 2019
I am getiing this error!!!
Assessment result: incorrect[1 2 3; 4 5 6; 7 8 9]
Variable summa has an incorrect value.

function summa=halfsum(m)
summa=0
[r c]=size(m)
for i=1:r
for j=1:c
if i<=j
summa=summa+m(i,j)
end
end
end
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

Image Analyst il 7 Set 2016
Try
theSum = 0; % DON'T USE sum as a variable name!!!
[rows, columns] = size(v);
for row = 1 : rows
for col = (columns - row + 1) : columns
theSum = theSum + .......
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

Justin Whetten il 13 Dic 2016
For anyone who might be struggling still with this
function sum=halfsum(A);
sum = 0;
[row,col] = size(A);
for i= 1:row
for j=1:col
if (i+j)>=(row+1)
sum = sum + A(i,j);
end
end
end
##### 2 CommentiMostra NessunoNascondi Nessuno
Steven Lord il 13 Dic 2016
There's no need for a test inside the loops.
In row 1, how many elements will be included in the sum and in which column are those elements located?
In row 2, how many elements will be included in the sum and in which column are those elements located?
Continue asking this question and see if there is a pattern to the answers that you can exploit in the definition of the second for loop to force only those elements that should be included in the sum to be included.
Image Analyst il 14 Dic 2016
And of course, NEVER use "sum" as the name of your variable (as I mentioned in my answer) since that's the name of a very important built-in function that you won't be able to use anymore if you redefine "sum" to be your own personal variable.
And if you're puzzled by what Steve said, just see my answer.

MANAV MALHOTRA il 25 Giu 2019
function summa=halfsum(m)
summa=0;
for i=1:size(m,1)
for j=1:size(m,2)
if(i<=j)
summa=summa+sum(m(i,j));
end
end
end
for those who are less familiar with matlab
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

Roshan Singh il 15 Set 2019
function summa=halfsum(a)
[r,c]=size(a);
summa=0;
for x=1:r
for y=1:c
if (x==y)||(x<y)
summa=a(x,y)+summa;
end
end
end
fprintf('summation of right hand matrix is...%d\n',summa)
end
##### 1 CommentoMostra -1 commenti meno recentiNascondi -1 commenti meno recenti
Walter Roberson il 15 Set 2019
(x==y)||(x<y) is the same logical condition as x<=y but x<=y is more efficient.

Sebastián Añazco il 21 Set 2019
function summa = halfsum(A)
summa = 0;
for n = 1 : size (A,1)
for m = 1:size(A,2)
if n >m
a = 0;
else
a = A(n, m);
end
summa = summa +a;
end
end
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

Shubham Pandey il 3 Apr 2020
function sum = halfsum(a)
sum = 0;
[row,col] = size(a);
for i=1:row
for j=1:col
if i<=j
sum=sum+a(i,j);
end
end
end
end
##### 3 CommentiMostra 1 commento meno recenteNascondi 1 commento meno recente
Image Analyst il 3 Apr 2020
But every MATLAB expert would advise anyone to never use the name of a built-in function like sum() as the name of a variable.
Shubham Pandey il 3 Apr 2020
I agree with your feedback. Just a noobie mistake.

Nitin Kumar soni il 27 Apr 2020
function summa=halfsum(n)
[row,col]=size(n);
summa=0;
for i=1:row
for j=1:col
if i<=j
summa=summa+n(i,j);
end
end
end
##### 1 CommentoMostra -1 commenti meno recentiNascondi -1 commenti meno recenti
Walter Roberson il 28 Apr 2020
You can avoid the if statement if you have j end at i instead of continuing to col.

Ashay Nagdive il 1 Mag 2020
function a = halfsum(A)
[row col]= size(A);
a = 0;
for r= 1: row
for c= 1: col
if c >= r
a= a + A(r,c)
else
A(r,c)= 0;
end
end
end
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

SANTOSH KAMBLE il 4 Mag 2020
function summa=halfsum(x)
[row col]=size(x);
summa=0;
for r=1:row
for c=1:col
y=x(r,c);
if r<=c
summa=summa+y;
end
end
end
end
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

ADARSH VISAJI il 9 Mag 2020
function summa = halfsum(A)
[row, col]=size(A);
sum=0;
for i=1:row
for j=i:col
if i<=j
sum= sum + A(i,j);
end
end
end
summa =sum;
end
if u guys have any dobts on matlab problem u can contact me through instagram
##### 1 CommentoMostra -1 commenti meno recentiNascondi -1 commenti meno recenti
Image Analyst il 9 Mag 2020
This is similar to most of the other answers however you used the function name "sum" as a variable. It is not recommended to overwrite built-in functions with variables because then you can never use the built in function name anymore within that scope. For example if you wanted to do
theSum = sum(1:100);
you would not be able to because you made sum a scalar number -- it's not the built-in function anymore.

Taif Ahmed BIpul il 15 Mag 2020
function summa=halfsum(A)
[m,n]=size(A);
summ=0;
for i=1:m
for ii=i:n
summ=summ+A(i,ii);
end
end
summa=summ;
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

vighnesh rana il 19 Mag 2020
function summa = halfsum(A)
[row col] = size(A);
total = 0;
for r = 1:row
for c= r:col
total = total + A(r,c);
end
end
summa = total;
end
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

Geetanjali Alle il 5 Giu 2020
function summa = halfsum(M)
[row column]=size(M);
summa=0;
for i=1:row
for j=1:column
if i<j||i==j
summa=summa + sum(M(i,j));
end
end
end
Hope this helps!
##### 1 CommentoMostra -1 commenti meno recentiNascondi -1 commenti meno recenti
Walter Roberson il 8 Giu 2020
i<j||i==j
would be more efficient as
i<=j
There is also an easy change to prevent you from needing the if at all.
sum(M(i,j))
M(i,j) is a scalar. sum() of a scalar is the same scalar. You do not need sum() there.

AYUSH MISHRA il 11 Giu 2020
function summa=halfsum(A)
[m,n]=size(A);
summa=0;
for i =1:m
fprintf('active row :%d \n',i);
for j=1:n
fprintf('active collumn :%d \n',j);
if m<=n
summa=summa+A(i,j);
end
fprintf('summa aeter every loop complition : %d \n',summa);
end
end
run it and understand every step working in loop
##### 0 CommentiMostra -2 commenti meno recentiNascondi -2 commenti meno recenti

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