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math prob: linear algebra.
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| kypez |
If your not serious dont answer.
matrix A = [ -1 4 ] <---- row one -1 and 4
-----------[ -6 1 ] <---- row two -6 and 1
has to complex eigenvalues
LAMBDA 1,2 = a +- bi
(+- means plus or minus)
what are the values of a and b?? thanks |
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| _Nut_ |
There was a reason I stopped after differential equations. And a better reason why I dropped out of partials (partial differential equations)
:nervous: |
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| d0uble h3lix |
| can't you just do row reduced echelon form and find the values for a and b? or can that only be done for matrices in 3d systems? (sorry, the last algebra i took was ALGEO in highschool) |
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| criticalpath |
I believe you find the determinant of that matrix (with the lambdas), set it equal to 0 and find the roots for that equation. The roots will be your eigenvalues.
So essentially, your equation comes down to:
(lambda+1)(lambda-1)+24=0
which simplifies to:
lambda^2-lambda+lambda-1+24=0
which equals to:
lambda^2+23=0
or:
lambda^2=-23
solve for lambda, and that is your answer. |
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