Recent content by eulersolid

Yes i will allow those entries{1,...,r} for the general conjecture constant row sum r Unfortunatelly i don't have the means for such a great search! If you are able to do it i would be very greatfull! In my first question i asked you if this is true "A has det=0 iff some columns or rows are...

My friend thank you for your interest, i have no problem for that theremight be more properties for those matrics having det=0 than the obvius ones I will give you one phrase for the simplier case of 2 which can easy be proved G={A=[aij] an integer matrix, aijEZ with constant row sum 2}...

integer matrix with constant row sum 3 My friend thank you for your interest I will give you one phrase for the simplier case of 2 which can easy be proved G={A=[aij] an integer matrix, aijEZ with constant row sum 2}. Let AEG Then DetA=0 iff There exist B,C EG such that...

i meant beside this obvius cases; some column or some row is the zero column or the zero row s so i will rephraze I believe that the following phrase is true, but i can't prove it Let A be an integer k*k matrix with row sum 3 Then DetA equals to 0 if and only if...

this not an obvious phrase if DetA equals 0 , that means that A has two rows or two columns identical the same? Its difficult to tell

my question is general I am not searchin for 3*3 matrices, but for k*k matrices I believe that the following phrase is true, but i can't prove it Let A be an integer k*k matrix with row sum 3 Then DetA equals to 0 if and only if A is trivial(two columns or two rows of the...

i know that, those matrices i presented where examples of integer matrices which have row sum 3 *i didnt say they have determinant 0

let A=[aij],( aij integers) with row sum 3 , i would be interest to know if there are any theorem which says weather a matrix of this form has DetA=0 If you know some familiar theorem please reply Thanks a lot

1 1 1 0 3 0 0 0 1 2 0 1 0 3 0 0

0 1 2 1 2 0 1 1 1

Thank you for your answer, my question was very unstable and i was focusing for matrices with aij E{0,1} My question is a little more general Those matrices I'm searching for, are in generally, k*k integer matrices A=[aij] (aij integers) with constant row sum 3 (and why not, in the more...

which are the the simpliest properties of a (0,1)-matrix with constant row sum 3 *this matrix is a matrix D which dirives from a linear system of the form Ci=Xi+Xai+Xbi ai,bi Ε {1,2,..,k} , i=1,2,...,k or C=DX in the formal language of matrices, thus...