
Linear Algebra Linear Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 30th, 2015, 09:24 PM  #1 
Member Joined: Jan 2015 From: Colorado Posts: 32 Thanks: 0  Find the matrix A with the given eigenvalue and vectors
Given that the matrix A has eigenvalues k= 1 with corresponding eigenvector v{1} = [1,1] Given that the matrix A has eigenvalues k2= 1 with corresponding eigenvector v{1} = [2,3] find the 2x2 matirx A So I was looking all over online and it said to multiply [1,2] [1,3] by [1,0] [0,1] and the inverse of the previous one but that was wrong, I am not sure where to go from here... 
April 1st, 2015, 07:34 PM  #2  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 896 
I am puzzled by this. If, as you appear to be saying, you do not know what "eigenvalues" and "eigenvectors" are where did you get this problem? If you do know what "eigenvalues" and "eigenvectors" are then it is just a matter of using their definition: Quote:
That gives you two equations. Quote:
That gives you two more equations. Solve those four equations for a, b, c, and d. Quote:
Last edited by Country Boy; April 1st, 2015 at 07:39 PM.  

Tags 
eigenvalue, find, matrix, vectors 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Eigenvalue of matrix  calypso  Linear Algebra  3  February 4th, 2015 03:16 PM 
help with matrix and vectors  maths61  Linear Algebra  0  February 13th, 2014 04:55 AM 
How do I find these vectors  sschoi  Linear Algebra  2  October 31st, 2011 11:37 AM 
rotation matrix from vectors to cone?  barcafan  Algebra  1  August 11th, 2011 06:39 PM 
How can I find these vectors?  Phazon  Algebra  1  May 13th, 2011 04:02 AM 