How to find sum of row vector and check this is equal to 0?

A = [0 1 0 0 0 1 ; 1 0 1 0 0 0 ; 0 1 0 1 0 0 ; 0 0 1 0 1 0; 0 0 0 1 0 1  ;  1 0 0 0 1 0];
B = [1; 2; 3; -3; -2; -1];
C = perms (B);
E=C
D=C*A

output:

E = 3 2 1 -1 -2 -3

3 2 1 -1 -3 -2

3 2 1 -2 -1 -3

3 2 1 -2 -3 -1

3 2 1 -3 -1 -2

3 2 1 -3 -2 -1 and so on...

D = -1 4 1 -1 -4 1

0 4 1 -2 -3 0

-1 4 0 0 -5 2

1 4 0 -2 -3 0

0 4 -1 0 -5 2 and so on...

Here i have lot of outputs for E and D.

so, I want print only the resultant Matrix D with two conditions

i) Matrix D has atmost one zero.

ii) Sum of all elements in D = 0.

and also their corresponding combination of Matrix E

by using any conditional statements (example for , if conditions).

• if exist such matrix D & E, then display "Matrix D and corresponding Matrix E"
• if does not exist such Matrix, then display " there is no such combination".

Answer 1

[David Hill]

idx=sum(D==0,2)<=1&sum(D,2)==0;
d=D(idx,:);
e=E(idx,:);

[David Hill]

h=histc(D,unique(D),2);
idx=sum(D==0,2)<=1&sum(D,2)==0&~sum(h>1,2)>0;
d=D(idx,:);
e=E(idx,:);

Answer 2

[Walter Roberson]

A = [0 1 0 0 0 1 ; 1 0 1 0 0 0 ; 0 1 0 1 0 0 ; 0 0 1 0 1 0; 0 0 0 1 0 1  ;  1 0 0 0 1 0];
B = [1; 2; 3; -3; -2; -1];
C = perms (B);
E=C;
D=C*A;

mask = sum(D==0,2) <= 1 & sum(D,2) == 0;
D(mask,:)

ans = 288×6

-1 -4 1 -1 4 1 1 -4 -1 -1 4 1 -1 2 -5 5 -2 1 -5 2 -1 5 -2 1 -1 1 -5 5 -2 2 -1 1 1 -1 4 -4 1 1 -1 -1 4 -4 -5 1 -1 5 -2 2 -2 -3 -1 1 3 2 -1 -3 -2 1 3 2

That sort of thing ??

[bala maths]

superb...

kindly one more condition to add. and display corresponding Matrix E

repeated number not allowed

for example

1 -4 1 -1 4 1

here 1 is three times repeated so remove this type of combination.

[Walter Roberson]

The rule to remove entries that have the same value repeated 3 times, turns out not to remove anything. None of the rows for that particular data happen to have any value repeated more than twice.

A = [0 1 0 0 0 1 ; 1 0 1 0 0 0 ; 0 1 0 1 0 0 ; 0 0 1 0 1 0; 0 0 0 1 0 1  ;  1 0 0 0 1 0];
B = [1; 2; 3; -3; -2; -1];
C = perms (B);
E=C;
D=C*A;

[~, F] = mode(D, 2);
mask = sum(D==0,2) <= 1 & sum(D,2) == 0 & F <= 2;
D(mask,:)

ans = 288×6

-1 -4 1 -1 4 1 1 -4 -1 -1 4 1 -1 2 -5 5 -2 1 -5 2 -1 5 -2 1 -1 1 -5 5 -2 2 -1 1 1 -1 4 -4 1 1 -1 -1 4 -4 -5 1 -1 5 -2 2 -2 -3 -1 1 3 2 -1 -3 -2 1 3 2

E(mask,:)

ans = 288×6

-1 -2 -3 3 2 1 -1 -2 -3 1 2 3 -1 -2 3 -3 2 1 -1 -2 3 1 2 -3 -1 -2 2 -3 3 1 -1 -2 2 3 -3 1 -1 -2 2 1 -3 3 -1 -2 2 1 3 -3 -1 -3 -2 2 3 1 -1 -3 -2 1 3 2

[bala maths]

1 -4 1 -1 4 1 (here 1 is repeated) remove it

1 -4 -1 -1 4 1 (Here 1 & -1 are repeated) remove it

-1 2 -5 5 -2 1 (all entry are distinct) i want print this type of rows only

-5 2 -1 5 -2 1 (all entry are distinct) i want print this type of rows only

-1 1 -5 5 -2 2

-1 1 1 -1 4 -4

1 1 -1 -1 4 -4

-5 1 -1 5 -2 2 (all entry are distinct) i want print this type of rows only

-2 -3 -1 1 3 2 (all entry are distinct) i want print this type of rows only

-1 -3 -2 1 3 2 (all entry are distinct) i want print this type of rows only

[Walter Roberson]

A = [0 1 0 0 0 1 ; 1 0 1 0 0 0 ; 0 1 0 1 0 0 ; 0 0 1 0 1 0; 0 0 0 1 0 1  ;  1 0 0 0 1 0];
B = [1; 2; 3; -3; -2; -1];
C = perms (B);
E=C;
D=C*A;

[~, F] = mode(D, 2);
mask = sum(D==0,2) <= 1 & sum(D,2) == 0 & F == 1;
D(mask,:)

ans = 216×6

-1 2 -5 5 -2 1 -5 2 -1 5 -2 1 -1 1 -5 5 -2 2 -5 1 -1 5 -2 2 -2 -3 -1 1 3 2 -1 -3 -2 1 3 2 -2 2 -5 5 -1 1 -2 2 -1 1 3 -3 -1 2 -2 1 3 -3 -5 2 -2 5 -1 1

E(mask,:)

ans = 216×6

-1 -2 3 -3 2 1 -1 -2 3 1 2 -3 -1 -2 2 -3 3 1 -1 -2 2 1 3 -3 -1 -3 -2 2 3 1 -1 -3 -2 1 3 2 -1 -3 3 -2 2 1 -1 -3 3 2 -2 1 -1 -3 3 1 -2 2 -1 -3 3 1 2 -2