I have a system of linear equations of the form \sum_{j=1}^n 2 x_j k_{ij} \in \mathbb{Z}, \

Coby Allison

Coby Allison

Answered question

2022-02-24

I have a system of linear equations of the form
j=1n2xjkijZ,i=1,,m
or equivalently
2KxZn
where K is an integer matrix with orthogonal rows and columns, such that the GCD of every row and every column is 1, and x is a vector of real numbers.
what are the constraints on x?

Answer & Explanation

Julien Manning

Julien Manning

Beginner2022-02-25Added 7 answers

The matrix K=(1  11  1) satisfies your conditions, but has the solution (x1,x2)=(14,14).

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?