decomplexification of a matrix

Question

0 个投票

Hi, I have the following matrix

A= [5 10; 
   -1 -1]

This matrix has two complex eigenvalues e = 2 +- i

I would like to obtain a matrix

T=[a   -b;
   b   a]

using matlab.

manually the solution is

(-3   - i(1
 1)      0)

and

P=[-3 1;
    1 0];  
Pinv=[0 1; 
      1 3]

and

Pinv*A*P=[2  -1; 
          1   2]

as the matrix T.

But how can I do it using matlab?

My best regards, jim

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Answer 1

Image Analyst 2015-2-6

0 个投票

Just like you have it. Did you try:

A= [5 10;
   -1 -1]
P=[-3 1;
    1 0]
Pinv=[0 1;
      1 3]
T = Pinv*A*P

In the command window:

If so, isn't that what you want? Or did you run into problems?