Find a matrix that represents the relation

  • Thread starter Thread starter nicnicman
  • Start date Start date
  • Tags Tags
    Matrix Relation
nicnicman
Messages
132
Reaction score
0

Homework Statement



Find the matrix that represents the given relation. Use elements in the order given to determine rows and columns of the matrix.

R on {2, 3, 4, 6, 8, 9, 12} where aRb means a|b.

Homework Equations





The Attempt at a Solution



1 0 1 1 1 0 1
0 1 0 1 0 1 1
0 0 1 0 1 0 1
0 0 0 1 0 0 1
0 0 0 0 1 0 0
0 0 0 0 0 1 0
0 0 0 0 0 0 1

I just want to make sure I'm doing this right. How does this look?
 
Physics news on Phys.org
Seems correct!
 
Nice. Thanks.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

Similar threads

Back
Top