November 21st, 2017, 01:40 PM  #1 
Senior Member Joined: Jan 2016 From: Blackpool Posts: 100 Thanks: 2  Matrix example
Find a matrix in $m_{2}(\mathbb{Q})$ such that the Eigen values do not belong in $\mathbb{Q}$

November 21st, 2017, 01:59 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,264 Thanks: 1198 
trivial $\begin{pmatrix}0 &2\\1 &0 \end{pmatrix}$ Eigenvalues $\pm \sqrt{2}$ 

Tags 
matrix 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
What is matrix?  Heatherdonahue  Elementary Math  0  October 3rd, 2016 10:36 PM 
ultra diagonal matrix, super diagonal matrix, sub diagonal matrix  silviatodorof  Linear Algebra  2  March 22nd, 2015 06:28 AM 
matrix  ely_en  Algebra  3  March 8th, 2010 11:38 AM 