Eigen value Q. pls help

  • Thread starter jmcasall
  • Start date
5
0

Main Question or Discussion Point

For which value of does the matrix
-4 k
-3 -7


have one real eigenvalue of multiplicity 2??

I use det(µI-A)=0
and end up with µ^2 - 3µ - 28 + 3k
but i dont know where to go from here
pls help
 

Answers and Replies

1,703
5
think
 
5
0
haha thanks
 
229
0
For which value of does the matrix
-4 k
-3 -7


have one real eigenvalue of multiplicity 2??

I use det(µI-A)=0
and end up with µ^2 - 3µ - 28 + 3k
but i dont know where to go from here
pls help
you sure you computed the determinant correctly?

anyways after you correct it, hint: quadratic formula
 
1,703
5
yea you did do it wrong... do it again and then think
 
HallsofIvy
Science Advisor
Homework Helper
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893
In particular, after you have the correct equation, think about the discriminant of the equation.
 
5
0
thanks
your help has been greatly appreciated
 

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